53445579264 has 960 divisors, whose sum is σ = 204926312448. Its totient is φ = 13005619200.

The previous prime is 53445579263. The next prime is 53445579289. The reversal of 53445579264 is 46297554435.

It is a happy number.

53445579264 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 5 + 579 + 2 + 64 = 666.

Its product of digits (18144000) is a multiple of the sum of its prime divisors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 53445579264.

It is not an unprimeable number, because it can be changed into a prime (53445579263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472969672 + ... + 472969784.

Almost surely, 2^53445579264 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 53445579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102463156224).

53445579264 is an abundant number, since it is smaller than the sum of its proper divisors (151480733184).

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

53445579264 is a wasteful number, since it uses less digits than its factorization.

53445579264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 53445579264 in words is "fifty-three billion, four hundred forty-five million, five hundred seventy-nine thousand, two hundred sixty-four".