479154170880 has 528 divisors, whose sum is σ = 2069945789184. Its totient is φ = 99563765760.

The previous prime is 479154170857. The next prime is 479154170903. The reversal of 479154170880 is 88071451974.

479154170880 is a `hidden beast` number, since 4 + 7 + 91 + 541 + 7 + 0 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (479154170857) and next prime (479154170903).

It is a tau number, because it is divible by the number of its divisors (528).

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, 3480639 + ... + 3615681.

Almost surely, 2^479154170880 is an apocalyptic number.

479154170880 is a gapful number since it is divisible by the number (40) 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 479154170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034972894592).

479154170880 is an abundant number, since it is smaller than the sum of its proper divisors (1590791618304).

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

479154170880 is a wasteful number, since it uses less digits than its factorization.

479154170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135092 (or 135071 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 479154170880 in words is "four hundred seventy-nine billion, one hundred fifty-four million, one hundred seventy thousand, eight hundred eighty".