10255634400 has 144 divisors (see below), whose sum is σ = 36416919168. Its totient is φ = 2486208000.

The previous prime is 10255634393. The next prime is 10255634423. The reversal of 10255634400 is 443655201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167836 + ... + 220635.

It is an arithmetic number, because the mean of its divisors is an integer number (252895272).

Almost surely, 2^10255634400 is an apocalyptic number.

10255634400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10255634400 is an abundant number, since it is smaller than the sum of its proper divisors (26161284768).

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

10255634400 is a wasteful number, since it uses less digits than its factorization.

10255634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388505 (or 388492 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10255634400 in words is "ten billion, two hundred fifty-five million, six hundred thirty-four thousand, four hundred".