54535756800 has 528 divisors, whose sum is σ = 209495416832. Its totient is φ = 12253593600.

The previous prime is 54535756783. The next prime is 54535756901. The reversal of 54535756800 is 865753545.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54535756800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32792769 + ... + 32794431.

Almost surely, 2^54535756800 is an apocalyptic number.

54535756800 is a gapful number since it is divisible by the number (50) 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 54535756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104747708416).

54535756800 is an abundant number, since it is smaller than the sum of its proper divisors (154959660032).

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

54535756800 is a wasteful number, since it uses less digits than its factorization.

54535756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 54535756800 in words is "fifty-four billion, five hundred thirty-five million, seven hundred fifty-six thousand, eight hundred".