54611837952 has 704 divisors, whose sum is σ = 187142307840. Its totient is φ = 13801881600.

The previous prime is 54611837941. The next prime is 54611837989. The reversal of 54611837952 is 25973811645.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1814400) is a multiple of the sum of its prime divisors (200).

It is a junction number, because it is equal to n+sod(n) for n = 54611837895 and 54611837904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691289049 + ... + 691289127.

Almost surely, 2^54611837952 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 54611837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93571153920).

54611837952 is an abundant number, since it is smaller than the sum of its proper divisors (132530469888).

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

54611837952 is a wasteful number, since it uses less digits than its factorization.

54611837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 54611837952 in words is "fifty-four billion, six hundred eleven million, eight hundred thirty-seven thousand, nine hundred fifty-two".