54526872640800 has 864 divisors, whose sum is σ = 215759462510592. Its totient is φ = 11914380011520.

The previous prime is 54526872640733. The next prime is 54526872640811. The reversal of 54526872640800 is 804627862545.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237554889 + ... + 237784311.

It is an arithmetic number, because the mean of its divisors is an integer number (249721600128).

Almost surely, 2^{54526872640800} is an apocalyptic number.

54526872640800 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 54526872640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107879731255296).

54526872640800 is an abundant number, since it is smaller than the sum of its proper divisors (161232589869792).

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

54526872640800 is a wasteful number, since it uses less digits than its factorization.

54526872640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229550 (or 229530 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 54526872640800 in words is "fifty-four trillion, five hundred twenty-six billion, eight hundred seventy-two million, six hundred forty thousand, eight hundred".