54539217600 has 336 divisors, whose sum is σ = 211096774656. Its totient is φ = 12063744000.

The previous prime is 54539217599. The next prime is 54539217619. The reversal of 54539217600 is 671293545.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1015420 + ... + 1067780.

Almost surely, 2^54539217600 is an apocalyptic number.

54539217600 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 54539217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105548387328).

54539217600 is an abundant number, since it is smaller than the sum of its proper divisors (156557557056).

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

54539217600 is a wasteful number, since it uses less digits than its factorization.

54539217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52424 (or 52409 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 54539217600 in words is "fifty-four billion, five hundred thirty-nine million, two hundred seventeen thousand, six hundred".