10752621408 has 72 divisors (see below), whose sum is σ = 30587998896. Its totient is φ = 3583008000.

The previous prime is 10752621403. The next prime is 10752621487. The reversal of 10752621408 is 80412625701.

10752621408 is a `hidden beast` number, since 107 + 526 + 21 + 4 + 0 + 8 = 666.

10752621408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752621403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1422118 + ... + 1429658.

It is an arithmetic number, because the mean of its divisors is an integer number (424833318).

Almost surely, 2^10752621408 is an apocalyptic number.

10752621408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10752621408 is an abundant number, since it is smaller than the sum of its proper divisors (19835377488).

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

10752621408 is a wasteful number, since it uses less digits than its factorization.

10752621408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10752621408 in words is "ten billion, seven hundred fifty-two million, six hundred twenty-one thousand, four hundred eight".