10712677585800 has 48 divisors (see below), whose sum is σ = 33209300517840. Its totient is φ = 2856714022720.

The previous prime is 10712677585747. The next prime is 10712677585807. The reversal of 10712677585800 is 858577621701.

It is a happy number.

It is a super-2 number, since 2×10712677585800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10712677585807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8927230722 + ... + 8927231921.

It is an arithmetic number, because the mean of its divisors is an integer number (691860427455).

Almost surely, 2^{10712677585800} is an apocalyptic number.

10712677585800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10712677585800 is an abundant number, since it is smaller than the sum of its proper divisors (22496622932040).

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

10712677585800 is a wasteful number, since it uses less digits than its factorization.

10712677585800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17854462662 (or 17854462653 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 57.

The spelling of 10712677585800 in words is "ten trillion, seven hundred twelve billion, six hundred seventy-seven million, five hundred eighty-five thousand, eight hundred".