25137815040 has 960 divisors, whose sum is σ = 101344763520. Its totient is φ = 5709496320.

The previous prime is 25137815039. The next prime is 25137815047. The reversal of 25137815040 is 4051873152.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25137814986 and 25137815004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25137815047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282447316 + ... + 282447404.

It is an arithmetic number, because the mean of its divisors is an integer number (105567462).

Almost surely, 2^25137815040 is an apocalyptic number.

25137815040 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 25137815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50672381760).

25137815040 is an abundant number, since it is smaller than the sum of its proper divisors (76206948480).

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

25137815040 is a wasteful number, since it uses less digits than its factorization.

25137815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 25137815040 in words is "twenty-five billion, one hundred thirty-seven million, eight hundred fifteen thousand, forty".