53407582272 has 168 divisors, whose sum is σ = 172759055040. Its totient is φ = 15625989120.

The previous prime is 53407582213. The next prime is 53407582273. The reversal of 53407582272 is 27228570435.

53407582272 is a `hidden beast` number, since 5 + 3 + 40 + 7 + 582 + 27 + 2 = 666.

It is a super-3 number, since 3×53407582272³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53407582273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38413 + ... + 329075.

Almost surely, 2^53407582272 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 53407582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86379527520).

53407582272 is an abundant number, since it is smaller than the sum of its proper divisors (119351472768).

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

53407582272 is a wasteful number, since it uses less digits than its factorization.

53407582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290721 (or 290708 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 53407582272 in words is "fifty-three billion, four hundred seven million, five hundred eighty-two thousand, two hundred seventy-two".