10071553344 has 112 divisors (see below), whose sum is σ = 27105595776. Its totient is φ = 3299788800.

The previous prime is 10071553339. The next prime is 10071553351. The reversal of 10071553344 is 44335517001.

It is a super-2 number, since 2×10071553344² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5410974 + ... + 5412834.

It is an arithmetic number, because the mean of its divisors is an integer number (242014248).

Almost surely, 2^10071553344 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 10071553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552797888).

10071553344 is an abundant number, since it is smaller than the sum of its proper divisors (17034042432).

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

10071553344 is a wasteful number, since it uses less digits than its factorization.

10071553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 10071553344 in words is "ten billion, seventy-one million, five hundred fifty-three thousand, three hundred forty-four".