54350092800 has 1200 divisors, whose sum is σ = 221026924800. Its totient is φ = 13138329600.

The previous prime is 54350092759. The next prime is 54350092817. The reversal of 54350092800 is 829005345.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×54350092800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 610675156 + ... + 610675244.

It is an arithmetic number, because the mean of its divisors is an integer number (184189104).

Almost surely, 2^54350092800 is an apocalyptic number.

54350092800 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 54350092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110513462400).

54350092800 is an abundant number, since it is smaller than the sum of its proper divisors (166676832000).

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

54350092800 is a wasteful number, since it uses less digits than its factorization.

54350092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 54350092800 in words is "fifty-four billion, three hundred fifty million, ninety-two thousand, eight hundred".