10357072384 has 80 divisors (see below), whose sum is σ = 21953391768. Its totient is φ = 4864540672.

The previous prime is 10357072373. The next prime is 10357072399. The reversal of 10357072384 is 48327075301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10338822400 + 18249984 = 101680^2 + 4272^2 .

It is a super-3 number, since 3×10357072384³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6936342 + ... + 6937834.

Almost surely, 2^10357072384 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 10357072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976695884).

10357072384 is an abundant number, since it is smaller than the sum of its proper divisors (11596319384).

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

10357072384 is an equidigital number, since it uses as much as digits as its factorization.

10357072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 10357072384 in words is "ten billion, three hundred fifty-seven million, seventy-two thousand, three hundred eighty-four".