25751478753 has 384 divisors, whose sum is σ = 56894423040. Its totient is φ = 10777536000.

The previous prime is 25751478751. The next prime is 25751478763. The reversal of 25751478753 is 35787415752.

25751478753 is a `hidden beast` number, since 2 + 5 + 7 + 514 + 78 + 7 + 53 = 666.

It is not a de Polignac number, because 25751478753 - 2¹ = 25751478751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25751478753.

It is not an unprimeable number, because it can be changed into a prime (25751478751) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122044818 + ... + 122045028.

It is an arithmetic number, because the mean of its divisors is an integer number (148162560).

Almost surely, 2^25751478753 is an apocalyptic number.

25751478753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

25751478753 is an abundant number, since it is smaller than the sum of its proper divisors (31142944287).

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

25751478753 is a wasteful number, since it uses less digits than its factorization.

25751478753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 318 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The spelling of 25751478753 in words is "twenty-five billion, seven hundred fifty-one million, four hundred seventy-eight thousand, seven hundred fifty-three".