25497117360 has 1280 divisors, whose sum is σ = 111712849920. Its totient is φ = 5255331840.

The previous prime is 25497117353. The next prime is 25497117389. The reversal of 25497117360 is 6371179452.

25497117360 is a `hidden beast` number, since 2 + 549 + 71 + 1 + 7 + 36 + 0 = 666.

It is a super-2 number, since 2×25497117360² (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 255 ways as a sum of consecutive naturals, for example, 262856832 + ... + 262856928.

It is an arithmetic number, because the mean of its divisors is an integer number (87275664).

Almost surely, 2^25497117360 is an apocalyptic number.

25497117360 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 25497117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55856424960).

25497117360 is an abundant number, since it is smaller than the sum of its proper divisors (86215732560).

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

25497117360 is a wasteful number, since it uses less digits than its factorization.

25497117360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 25497117360 in words is "twenty-five billion, four hundred ninety-seven million, one hundred seventeen thousand, three hundred sixty".