10762972400 has 30 divisors (see below), whose sum is σ = 25858042152. Its totient is φ = 4305188800.

The previous prime is 10762972397. The next prime is 10762972421. The reversal of 10762972400 is 427926701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13453316 + ... + 13454115.

Almost surely, 2^10762972400 is an apocalyptic number.

10762972400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10762972400 is an abundant number, since it is smaller than the sum of its proper divisors (15095069752).

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

10762972400 is a wasteful number, since it uses less digits than its factorization.

10762972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26907449 (or 26907438 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 10762972400 in words is "ten billion, seven hundred sixty-two million, nine hundred seventy-two thousand, four hundred".