25227264262464 has 840 divisors, whose sum is σ = 88736643151200. Its totient is φ = 7008365721600.

The previous prime is 25227264262439. The next prime is 25227264262469. The reversal of 25227264262464 is 46426246272252.

25227264262464 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 7 + 2 + 6 + 4 + 2 + 624 + 6 + 4 = 666.

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 25227264262464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25227264262469) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1041189102 + ... + 1041213330.

Almost surely, 2^{25227264262464} is an apocalyptic number.

25227264262464 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 25227264262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44368321575600).

25227264262464 is an abundant number, since it is smaller than the sum of its proper divisors (63509378888736).

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

25227264262464 is a wasteful number, since it uses less digits than its factorization.

25227264262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24345 (or 24295 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 54.

The spelling of 25227264262464 in words is "twenty-five trillion, two hundred twenty-seven billion, two hundred sixty-four million, two hundred sixty-two thousand, four hundred sixty-four".