25507580778240 has 144 divisors (see below), whose sum is σ = 88870730449536. Its totient is φ = 6183655936000.

The previous prime is 25507580778191. The next prime is 25507580778259. The reversal of 25507580778240 is 4287708570552.

It is a super-3 number, since 3×25507580778240³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301894086 + ... + 301978565.

It is an arithmetic number, because the mean of its divisors is an integer number (617157850344).

Almost surely, 2^{25507580778240} is an apocalyptic number.

25507580778240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25507580778240 is an abundant number, since it is smaller than the sum of its proper divisors (63363149671296).

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

25507580778240 is a wasteful number, since it uses less digits than its factorization.

25507580778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603872686 (or 603872672 counting only the distinct ones).

The product of its (nonzero) digits is 43904000, while the sum is 60.

The spelling of 25507580778240 in words is "twenty-five trillion, five hundred seven billion, five hundred eighty million, seven hundred seventy-eight thousand, two hundred forty".