480161117520 has 240 divisors, whose sum is σ = 1880515353600. Its totient is φ = 109751056128.

The previous prime is 480161117507. The next prime is 480161117561. The reversal of 480161117520 is 25711161084.

480161117520 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 611 + 17 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 725184 + ... + 1219103.

It is an arithmetic number, because the mean of its divisors is an integer number (7835480640).

Almost surely, 2^480161117520 is an apocalyptic number.

480161117520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480161117520 is an abundant number, since it is smaller than the sum of its proper divisors (1400354236080).

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

480161117520 is a wasteful number, since it uses less digits than its factorization.

480161117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944327 (or 1944304 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 480161117520 in words is "four hundred eighty billion, one hundred sixty-one million, one hundred seventeen thousand, five hundred twenty".