25630773168 has 320 divisors, whose sum is σ = 89986240512. Its totient is φ = 6070256640.

The previous prime is 25630773101. The next prime is 25630773187. The reversal of 25630773168 is 86137703652.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 3984771 + ... + 3991197.

Almost surely, 2^25630773168 is an apocalyptic number.

25630773168 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 25630773168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44993120256).

25630773168 is an abundant number, since it is smaller than the sum of its proper divisors (64355467344).

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

25630773168 is a wasteful number, since it uses less digits than its factorization.

25630773168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6552 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

It can be divided in two parts, 2563077 and 3168, that added together give a triangular number (2566245 = T₂₂₆₅).

The spelling of 25630773168 in words is "twenty-five billion, six hundred thirty million, seven hundred seventy-three thousand, one hundred sixty-eight".