879381759456 has 288 divisors, whose sum is σ = 2638077361920. Its totient is φ = 277585201152.

The previous prime is 879381759391. The next prime is 879381759479. The reversal of 879381759456 is 654957183978.

879381759456 is a `hidden beast` number, since 8 + 7 + 93 + 81 + 7 + 5 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53329645 + ... + 53346131.

It is an arithmetic number, because the mean of its divisors is an integer number (9159990840).

Almost surely, 2^879381759456 is an apocalyptic number.

879381759456 is a gapful number since it is divisible by the number (86) 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 879381759456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319038680960).

879381759456 is an abundant number, since it is smaller than the sum of its proper divisors (1758695602464).

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

879381759456 is a wasteful number, since it uses less digits than its factorization.

879381759456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16678 (or 16667 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 879381759456 in words is "eight hundred seventy-nine billion, three hundred eighty-one million, seven hundred fifty-nine thousand, four hundred fifty-six".