879153653461 has 32 divisors (see below), whose sum is σ = 967465894400. Its totient is φ = 795958824960.

The previous prime is 879153653429. The next prime is 879153653471. The reversal of 879153653461 is 164356351978.

It is a cyclic number.

It is not a de Polignac number, because 879153653461 - 2⁵ = 879153653429 is a prime.

It is a super-2 number, since 2×879153653461² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 879153653396 and 879153653405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879153653471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10677631 + ... + 10759651.

It is an arithmetic number, because the mean of its divisors is an integer number (30233309200).

Almost surely, 2^879153653461 is an apocalyptic number.

It is an amenable number.

879153653461 is a deficient number, since it is larger than the sum of its proper divisors (88312240939).

879153653461 is a wasteful number, since it uses less digits than its factorization.

879153653461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82349.

The product of its digits is 16329600, while the sum is 58.

The spelling of 879153653461 in words is "eight hundred seventy-nine billion, one hundred fifty-three million, six hundred fifty-three thousand, four hundred sixty-one".