10507083664 has 80 divisors (see below), whose sum is σ = 25512831360. Its totient is φ = 4072366080.

The previous prime is 10507083659. The next prime is 10507083683. The reversal of 10507083664 is 46638070501.

It is a happy number.

It is a super-2 number, since 2×10507083664² (a number of 21 digits) contains 22 as substring.

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, 215682 + ... + 259870.

It is an arithmetic number, because the mean of its divisors is an integer number (318910392).

Almost surely, 2^10507083664 is an apocalyptic number.

10507083664 is a gapful number since it is divisible by the number (14) 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 10507083664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756415680).

10507083664 is an abundant number, since it is smaller than the sum of its proper divisors (15005747696).

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

10507083664 is a wasteful number, since it uses less digits than its factorization.

10507083664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44408 (or 44402 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10507083664 in words is "ten billion, five hundred seven million, eighty-three thousand, six hundred sixty-four".