10516671504 has 80 divisors (see below), whose sum is σ = 30284192640. Its totient is φ = 3494240640.

The previous prime is 10516671479. The next prime is 10516671559. The reversal of 10516671504 is 40517661501.

It is a happy number.

It is a super-2 number, since 2×10516671504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 95214 + ... + 173490.

It is an arithmetic number, because the mean of its divisors is an integer number (378552408).

Almost surely, 2^10516671504 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 10516671504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142096320).

10516671504 is an abundant number, since it is smaller than the sum of its proper divisors (19767521136).

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

10516671504 is a wasteful number, since it uses less digits than its factorization.

10516671504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78605 (or 78593 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10516671504 in words is "ten billion, five hundred sixteen million, six hundred seventy-one thousand, five hundred four".