25764106368 has 512 divisors, whose sum is σ = 92967598080. Its totient is φ = 6104678400.

The previous prime is 25764106331. The next prime is 25764106409. The reversal of 25764106368 is 86360146752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37284903 + ... + 37285593.

It is an arithmetic number, because the mean of its divisors is an integer number (181577340).

Almost surely, 2^25764106368 is an apocalyptic number.

25764106368 is a gapful number since it is divisible by the number (28) 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 25764106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46483799040).

25764106368 is an abundant number, since it is smaller than the sum of its proper divisors (67203491712).

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

25764106368 is a wasteful number, since it uses less digits than its factorization.

25764106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 25764106368 in words is "twenty-five billion, seven hundred sixty-four million, one hundred six thousand, three hundred sixty-eight".