54504368640 has 800 divisors, whose sum is σ = 206291796480. Its totient is φ = 13735526400.

The previous prime is 54504368617. The next prime is 54504368641. The reversal of 54504368640 is 4686340545.

54504368640 is a `hidden beast` number, since 54 + 50 + 436 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54504368641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 392117691 + ... + 392117829.

Almost surely, 2^54504368640 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 54504368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103145898240).

54504368640 is an abundant number, since it is smaller than the sum of its proper divisors (151787427840).

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

54504368640 is a wasteful number, since it uses less digits than its factorization.

54504368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 54504368640 in words is "fifty-four billion, five hundred four million, three hundred sixty-eight thousand, six hundred forty".