54728718752400 has 1920 divisors, whose sum is σ = 243782568345600. Its totient is φ = 10357530624000.

The previous prime is 54728718752341. The next prime is 54728718752441. The reversal of 54728718752400 is 425781782745.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2386033732 + ... + 2386056668.

It is an arithmetic number, because the mean of its divisors is an integer number (126970087680).

Almost surely, 2^{54728718752400} is an apocalyptic number.

54728718752400 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 54728718752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121891284172800).

54728718752400 is an abundant number, since it is smaller than the sum of its proper divisors (189053849593200).

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

54728718752400 is a wasteful number, since it uses less digits than its factorization.

54728718752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23038 (or 23013 counting only the distinct ones).

The product of its (nonzero) digits is 35123200, while the sum is 60.

The spelling of 54728718752400 in words is "fifty-four trillion, seven hundred twenty-eight billion, seven hundred eighteen million, seven hundred fifty-two thousand, four hundred".