53872980480 has 480 divisors, whose sum is σ = 210135264768. Its totient is φ = 12636979200.

The previous prime is 53872980451. The next prime is 53872980527. The reversal of 53872980480 is 8408927835.

It is a happy number.

53872980480 is a `hidden beast` number, since 5 + 3 + 8 + 72 + 98 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×53872980480² (a number of 22 digits) contains 22 as substring.

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, 7853212 + ... + 7860068.

Almost surely, 2^53872980480 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 53872980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105067632384).

53872980480 is an abundant number, since it is smaller than the sum of its proper divisors (156262284288).

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

53872980480 is a wasteful number, since it uses less digits than its factorization.

53872980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 53872980480 in words is "fifty-three billion, eight hundred seventy-two million, nine hundred eighty thousand, four hundred eighty".