54814588920 has 1008 divisors, whose sum is σ = 233950223160. Its totient is φ = 11514327552.

The previous prime is 54814588919. The next prime is 54814588943. The reversal of 54814588920 is 2988541845.

54814588920 is a `hidden beast` number, since 5 + 48 + 14 + 588 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 241473847 + ... + 241474073.

Almost surely, 2^54814588920 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 54814588920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116975111580).

54814588920 is an abundant number, since it is smaller than the sum of its proper divisors (179135634240).

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

54814588920 is a wasteful number, since it uses less digits than its factorization.

54814588920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 54814588920 in words is "fifty-four billion, eight hundred fourteen million, five hundred eighty-eight thousand, nine hundred twenty".