25700864682240 has 1728 divisors, whose sum is σ = 103956602480640. Its totient is φ = 5962246963200.

The previous prime is 25700864682173. The next prime is 25700864682253. The reversal of 25700864682240 is 4228646800752.

25700864682240 is a `hidden beast` number, since 2 + 570 + 0 + 8 + 6 + 4 + 6 + 8 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×25700864682240² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37629376939 + ... + 37629377621.

It is an arithmetic number, because the mean of its divisors is an integer number (60160070880).

Almost surely, 2^{25700864682240} is an apocalyptic number.

25700864682240 is a gapful number since it is divisible by the number (20) 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 25700864682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51978301240320).

25700864682240 is an abundant number, since it is smaller than the sum of its proper divisors (78255737798400).

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

25700864682240 is a wasteful number, since it uses less digits than its factorization.

25700864682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 25700864682240 in words is "twenty-five trillion, seven hundred billion, eight hundred sixty-four million, six hundred eighty-two thousand, two hundred forty".