10879349592001 has 8 divisors (see below), whose sum is σ = 11893795471584. Its totient is φ = 9869139395520.

The previous prime is 10879349591861. The next prime is 10879349592017. The reversal of 10879349592001 is 10029594397801.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10879349592001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10879349592901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058915400 + ... + 1058925673.

It is an arithmetic number, because the mean of its divisors is an integer number (1486724433948).

Almost surely, 2^{10879349592001} is an apocalyptic number.

10879349592001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10879349592001 is a deficient number, since it is larger than the sum of its proper divisors (1014445879583).

10879349592001 is a wasteful number, since it uses less digits than its factorization.

10879349592001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117841551.

The product of its (nonzero) digits is 4898880, while the sum is 58.

It can be divided in two parts, 108793 and 49592001, that added together give a palindrome (49700794).

The spelling of 10879349592001 in words is "ten trillion, eight hundred seventy-nine billion, three hundred forty-nine million, five hundred ninety-two thousand, one".