879136364160 has 768 divisors, whose sum is σ = 3271615401600. Its totient is φ = 225322352640.

The previous prime is 879136364147. The next prime is 879136364203. The reversal of 879136364160 is 61463631978.

It is a happy number.

879136364160 is a `hidden beast` number, since 8 + 7 + 91 + 36 + 364 + 160 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 879136364097 and 879136364106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1790501515 + ... + 1790502005.

Almost surely, 2^879136364160 is an apocalyptic number.

879136364160 is a gapful number since it is divisible by the number (80) 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 879136364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635807700800).

879136364160 is an abundant number, since it is smaller than the sum of its proper divisors (2392479037440).

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

879136364160 is a wasteful number, since it uses less digits than its factorization.

879136364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 879136364160 in words is "eight hundred seventy-nine billion, one hundred thirty-six million, three hundred sixty-four thousand, one hundred sixty".