25145626304 has 112 divisors (see below), whose sum is σ = 53600908800. Its totient is φ = 11668478976.

The previous prime is 25145626291. The next prime is 25145626367. The reversal of 25145626304 is 40362654152.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33217094 + ... + 33217850.

Almost surely, 2^25145626304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25145626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26800454400).

25145626304 is an abundant number, since it is smaller than the sum of its proper divisors (28455282496).

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

25145626304 is a wasteful number, since it uses less digits than its factorization.

25145626304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 25145626304 in words is "twenty-five billion, one hundred forty-five million, six hundred twenty-six thousand, three hundred four".