480115077120 has 1872 divisors, whose sum is σ = 2123850287520. Its totient is φ = 99618914304.

The previous prime is 480115077059. The next prime is 480115077131. The reversal of 480115077120 is 21770511084.

480115077120 is a `hidden beast` number, since 4 + 80 + 1 + 1 + 507 + 71 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8137543651 + ... + 8137543709.

It is an arithmetic number, because the mean of its divisors is an integer number (1134535410).

Almost surely, 2^480115077120 is an apocalyptic number.

480115077120 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 480115077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061925143760).

480115077120 is an abundant number, since it is smaller than the sum of its proper divisors (1643735210400).

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

480115077120 is a wasteful number, since it uses less digits than its factorization.

480115077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 480115077120 in words is "four hundred eighty billion, one hundred fifteen million, seventy-seven thousand, one hundred twenty".