25613537040 has 640 divisors, whose sum is σ = 109193011200. Its totient is φ = 5373941760.

The previous prime is 25613536981. The next prime is 25613537069. The reversal of 25613537040 is 4073531652.

25613537040 is a `hidden beast` number, since 2 + 5 + 613 + 5 + 37 + 0 + 4 + 0 = 666.

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 = 25613536986 and 25613537004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61129951 + ... + 61130369.

It is an arithmetic number, because the mean of its divisors is an integer number (170614080).

Almost surely, 2^25613537040 is an apocalyptic number.

25613537040 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 25613537040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54596505600).

25613537040 is an abundant number, since it is smaller than the sum of its proper divisors (83579474160).

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

25613537040 is a wasteful number, since it uses less digits than its factorization.

25613537040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 25613537040 in words is "twenty-five billion, six hundred thirteen million, five hundred thirty-seven thousand, forty".