54576621158400 has 3024 divisors, whose sum is σ = 231931778416128. Its totient is φ = 12612796416000.

The previous prime is 54576621158393. The next prime is 54576621158473. The reversal of 54576621158400 is 485112667545.

54576621158400 is a `hidden beast` number, since 5 + 4 + 5 + 7 + 6 + 621 + 1 + 5 + 8 + 4 + 0 + 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 167 ways as a sum of consecutive naturals, for example, 814576435167 + ... + 814576435233.

It is an arithmetic number, because the mean of its divisors is an integer number (76697016672).

Almost surely, 2^{54576621158400} is an apocalyptic number.

54576621158400 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 54576621158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115965889208064).

54576621158400 is an abundant number, since it is smaller than the sum of its proper divisors (177355157257728).

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

54576621158400 is an frugal number, since it uses more digits than its factorization.

54576621158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

It can be divided in two parts, 545766 and 21158400, that added together give a triangular number (21704166 = T₆₅₈₈).

The spelling of 54576621158400 in words is "fifty-four trillion, five hundred seventy-six billion, six hundred twenty-one million, one hundred fifty-eight thousand, four hundred".