501048087120 has 640 divisors, whose sum is σ = 2124572590080. Its totient is φ = 106009896960.

The previous prime is 501048087101. The next prime is 501048087161. The reversal of 501048087120 is 21780840105.

501048087120 is a `hidden beast` number, since 50 + 1 + 0 + 480 + 8 + 7 + 120 = 666.

It is a super-2 number, since 2×501048087120² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 10757322 + ... + 10803798.

It is an arithmetic number, because the mean of its divisors is an integer number (3319644672).

Almost surely, 2^501048087120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501048087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062286295040).

501048087120 is an abundant number, since it is smaller than the sum of its proper divisors (1623524502960).

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

501048087120 is a wasteful number, since it uses less digits than its factorization.

501048087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46560 (or 46548 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 501048087120 in words is "five hundred one billion, forty-eight million, eighty-seven thousand, one hundred twenty".