10757442072 has 64 divisors (see below), whose sum is σ = 29065649760. Its totient is φ = 3298176000.

The previous prime is 10757442013. The next prime is 10757442089. The reversal of 10757442072 is 27024475701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10757442072.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26322 + ... + 149022.

Almost surely, 2^10757442072 is an apocalyptic number.

10757442072 is a gapful number since it is divisible by the number (12) 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 10757442072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532824880).

10757442072 is an abundant number, since it is smaller than the sum of its proper divisors (18308207688).

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

10757442072 is a wasteful number, since it uses less digits than its factorization.

10757442072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123004 (or 123000 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 39.

The spelling of 10757442072 in words is "ten billion, seven hundred fifty-seven million, four hundred forty-two thousand, seventy-two".