25962808320 has 264 divisors, whose sum is σ = 92059583616. Its totient is φ = 6761889792.

The previous prime is 25962808301. The next prime is 25962808331. The reversal of 25962808320 is 2380826952.

It is a happy number.

25962808320 is a `hidden beast` number, since 2 + 596 + 28 + 0 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×25962808320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1974889 + ... + 1987991.

It is an arithmetic number, because the mean of its divisors is an integer number (348710544).

Almost surely, 2^25962808320 is an apocalyptic number.

25962808320 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 25962808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46029791808).

25962808320 is an abundant number, since it is smaller than the sum of its proper divisors (66096775296).

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

25962808320 is a wasteful number, since it uses less digits than its factorization.

25962808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13177 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 25962808320 in words is "twenty-five billion, nine hundred sixty-two million, eight hundred eight thousand, three hundred twenty".