25757268768 has 144 divisors (see below), whose sum is σ = 91321304256. Its totient is φ = 6690193920.

The previous prime is 25757268767. The next prime is 25757268787. The reversal of 25757268768 is 86786275752.

25757268768 is a `hidden beast` number, since 2 + 57 + 572 + 6 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25757268767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558571 + ... + 602922.

It is an arithmetic number, because the mean of its divisors is an integer number (634175724).

Almost surely, 2^25757268768 is an apocalyptic number.

25757268768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

25757268768 is an abundant number, since it is smaller than the sum of its proper divisors (65564035488).

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

25757268768 is a wasteful number, since it uses less digits than its factorization.

25757268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161527 (or 1161516 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 25757268768 in words is "twenty-five billion, seven hundred fifty-seven million, two hundred sixty-eight thousand, seven hundred sixty-eight".