10757437128 has 96 divisors (see below), whose sum is σ = 29955814200. Its totient is φ = 3484975104.

The previous prime is 10757437099. The next prime is 10757437133. The reversal of 10757437128 is 82173475701.

10757437128 is a `hidden beast` number, since 1 + 0 + 7 + 574 + 3 + 71 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8179031844 + 2578405284 = 90438^2 + 50778^2 .

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, 3229768 + ... + 3233096.

Almost surely, 2^10757437128 is an apocalyptic number.

10757437128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10757437128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977907100).

10757437128 is an abundant number, since it is smaller than the sum of its proper divisors (19198377072).

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

10757437128 is a wasteful number, since it uses less digits than its factorization.

10757437128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10757437128 in words is "ten billion, seven hundred fifty-seven million, four hundred thirty-seven thousand, one hundred twenty-eight".