879972043104 has 1728 divisors, whose sum is σ = 3515891678208. Its totient is φ = 211362877440.

The previous prime is 879972043091. The next prime is 879972043123. The reversal of 879972043104 is 401340279978.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 5604917394 + ... + 5604917550.

It is an arithmetic number, because the mean of its divisors is an integer number (2034659536).

Almost surely, 2^879972043104 is an apocalyptic number.

879972043104 is a gapful number since it is divisible by the number (84) 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 879972043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757945839104).

879972043104 is an abundant number, since it is smaller than the sum of its proper divisors (2635919635104).

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

879972043104 is a wasteful number, since it uses less digits than its factorization.

879972043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 879972043104 in words is "eight hundred seventy-nine billion, nine hundred seventy-two million, forty-three thousand, one hundred four".