54015670800 has 1920 divisors, whose sum is σ = 259453393920. Its totient is φ = 10351411200.

The previous prime is 54015670799. The next prime is 54015670801. The reversal of 54015670800 is 807651045.

It is an interprime number because it is at equal distance from previous prime (54015670799) and next prime (54015670801).

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

It is not an unprimeable number, because it can be changed into a prime (54015670801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 885502770 + ... + 885502830.

It is an arithmetic number, because the mean of its divisors is an integer number (135131976).

Almost surely, 2^54015670800 is an apocalyptic number.

54015670800 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 54015670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129726696960).

54015670800 is an abundant number, since it is smaller than the sum of its proper divisors (205437723120).

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

54015670800 is a wasteful number, since it uses less digits than its factorization.

54015670800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 54015670800 in words is "fifty-four billion, fifteen million, six hundred seventy thousand, eight hundred".