10657712442 has 128 divisors (see below), whose sum is σ = 24004512000. Its totient is φ = 3133937664.

The previous prime is 10657712431. The next prime is 10657712459. The reversal of 10657712442 is 24421775601.

It is a super-2 number, since 2×10657712442² (a number of 21 digits) contains 22 as substring.

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 10657712442.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30537684 + ... + 30538032.

It is an arithmetic number, because the mean of its divisors is an integer number (187535250).

Almost surely, 2^10657712442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10657712442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002256000).

10657712442 is an abundant number, since it is smaller than the sum of its proper divisors (13346799558).

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

10657712442 is a wasteful number, since it uses less digits than its factorization.

10657712442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 10657712442 in words is "ten billion, six hundred fifty-seven million, seven hundred twelve thousand, four hundred forty-two".