10677075857920 has 160 divisors (see below), whose sum is σ = 27257286672000. Its totient is φ = 3997146218496.

The previous prime is 10677075857911. The next prime is 10677075857923. The reversal of 10677075857920 is 2975857077601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10677075857920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (10677075857923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7104781 + ... + 8475379.

It is an arithmetic number, because the mean of its divisors is an integer number (170358041700).

Almost surely, 2^{10677075857920} is an apocalyptic number.

10677075857920 is a gapful number since it is divisible by the number (10) 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 10677075857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628643336000).

10677075857920 is an abundant number, since it is smaller than the sum of its proper divisors (16580210814080).

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

10677075857920 is a wasteful number, since it uses less digits than its factorization.

10677075857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370818 (or 1370802 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 64.

The spelling of 10677075857920 in words is "ten trillion, six hundred seventy-seven billion, seventy-five million, eight hundred fifty-seven thousand, nine hundred twenty".