10025504400 has 60 divisors (see below), whose sum is σ = 32115036272. Its totient is φ = 2673467520.

The previous prime is 10025504399. The next prime is 10025504441. The reversal of 10025504400 is 440552001.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4176094 + ... + 4178493.

Almost surely, 2^10025504400 is an apocalyptic number.

10025504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10025504400 is an abundant number, since it is smaller than the sum of its proper divisors (22089531872).

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

10025504400 is a wasteful number, since it uses less digits than its factorization.

10025504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354608 (or 8354597 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 10025504400 in words is "ten billion, twenty-five million, five hundred four thousand, four hundred".