25756978544640 has 1920 divisors, whose sum is σ = 108522166309920. Its totient is φ = 5851190919168.

The previous prime is 25756978544639. The next prime is 25756978544707. The reversal of 25756978544640 is 4644587965752.

25756978544640 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 6 + 9 + 78 + 544 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 158018273199 + ... + 158018273361.

Almost surely, 2^{25756978544640} is an apocalyptic number.

25756978544640 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 25756978544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54261083154960).

25756978544640 is an abundant number, since it is smaller than the sum of its proper divisors (82765187765280).

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

25756978544640 is an frugal number, since it uses more digits than its factorization.

25756978544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 25756978544640 in words is "twenty-five trillion, seven hundred fifty-six billion, nine hundred seventy-eight million, five hundred forty-four thousand, six hundred forty".