54807819264 has 660 divisors, whose sum is σ = 185531433472. Its totient is φ = 16094453760.

The previous prime is 54807819259. The next prime is 54807819329. The reversal of 54807819264 is 46291870845.

It is a happy number.

54807819264 is a `hidden beast` number, since 5 + 480 + 78 + 1 + 92 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54807819264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 431557569 + ... + 431557695.

Almost surely, 2^54807819264 is an apocalyptic number.

54807819264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54807819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92765716736).

54807819264 is an abundant number, since it is smaller than the sum of its proper divisors (130723614208).

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

54807819264 is a wasteful number, since it uses less digits than its factorization.

54807819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

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

The spelling of 54807819264 in words is "fifty-four billion, eight hundred seven million, eight hundred nineteen thousand, two hundred sixty-four".