25649598240 has 192 divisors, whose sum is σ = 102598513920. Its totient is φ = 5862758400.

The previous prime is 25649598173. The next prime is 25649598253. The reversal of 25649598240 is 4289594652.

25649598240 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 9 + 598 + 2 + 40 = 666.

It is a super-2 number, since 2×25649598240² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393861 + ... + 454340.

It is an arithmetic number, because the mean of its divisors is an integer number (534367260).

Almost surely, 2^25649598240 is an apocalyptic number.

25649598240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25649598240 is an abundant number, since it is smaller than the sum of its proper divisors (76948915680).

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

25649598240 is a wasteful number, since it uses less digits than its factorization.

25649598240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848232 (or 848218 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 25649598240 in words is "twenty-five billion, six hundred forty-nine million, five hundred ninety-eight thousand, two hundred forty".