53477832960 has 360 divisors, whose sum is σ = 202616229816. Its totient is φ = 13421445120.

The previous prime is 53477832931. The next prime is 53477833009. The reversal of 53477832960 is 6923877435.

53477832960 is a `hidden beast` number, since 5 + 3 + 477 + 83 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4236447744 + 49241385216 = 65088^2 + 221904^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×53477832960³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53477832897 and 53477832906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1747390 + ... + 1777730.

Almost surely, 2^53477832960 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 53477832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101308114908).

53477832960 is an abundant number, since it is smaller than the sum of its proper divisors (149138396856).

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

53477832960 is a wasteful number, since it uses less digits than its factorization.

53477832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30391 (or 30368 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 53477832960 in words is "fifty-three billion, four hundred seventy-seven million, eight hundred thirty-two thousand, nine hundred sixty".