54730635724800 has 3456 divisors, whose sum is σ = 245929959475200. Its totient is φ = 11792964648960.

The previous prime is 54730635724781. The next prime is 54730635724837. The reversal of 54730635724800 is 842753603745.

It is a happy number.

54730635724800 is a `hidden beast` number, since 5 + 4 + 7 + 3 + 0 + 63 + 572 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 178275686247 + ... + 178275686553.

It is an arithmetic number, because the mean of its divisors is an integer number (71160289200).

Almost surely, 2^{54730635724800} is an apocalyptic number.

54730635724800 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 54730635724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122964979737600).

54730635724800 is an abundant number, since it is smaller than the sum of its proper divisors (191199323750400).

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

54730635724800 is a wasteful number, since it uses less digits than its factorization.

54730635724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 54730635724800 in words is "fifty-four trillion, seven hundred thirty billion, six hundred thirty-five million, seven hundred twenty-four thousand, eight hundred".