25221983127264 has 1152 divisors, whose sum is σ = 97559736422400. Its totient is φ = 6339542630400.

The previous prime is 25221983127259. The next prime is 25221983127269. The reversal of 25221983127264 is 46272138912252.

It is a happy number.

25221983127264 is a `hidden beast` number, since 2 + 5 + 221 + 98 + 3 + 1 + 272 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (25221983127259) and next prime (25221983127269).

It is a super-2 number, since 2×25221983127264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25221983127264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25221983127269) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1169351872 + ... + 1169373440.

It is an arithmetic number, because the mean of its divisors is an integer number (84687271200).

Almost surely, 2^{25221983127264} is an apocalyptic number.

25221983127264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25221983127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48779868211200).

25221983127264 is an abundant number, since it is smaller than the sum of its proper divisors (72337753295136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25221983127264 is a wasteful number, since it uses less digits than its factorization.

25221983127264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21656 (or 21623 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 25221983127264 in words is "twenty-five trillion, two hundred twenty-one billion, nine hundred eighty-three million, one hundred twenty-seven thousand, two hundred sixty-four".