54001677600 has 864 divisors, whose sum is σ = 217840057344. Its totient is φ = 12491366400.

The previous prime is 54001677599. The next prime is 54001677617. The reversal of 54001677600 is 677610045.

54001677600 is a `hidden beast` number, since 5 + 40 + 0 + 1 + 6 + 7 + 7 + 600 = 666.

It is a super-2 number, since 2×54001677600² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107358949 + ... + 107359451.

It is an arithmetic number, because the mean of its divisors is an integer number (252129696).

Almost surely, 2^54001677600 is an apocalyptic number.

54001677600 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 54001677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108920028672).

54001677600 is an abundant number, since it is smaller than the sum of its proper divisors (163838379744).

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

54001677600 is a wasteful number, since it uses less digits than its factorization.

54001677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 54001677600 in words is "fifty-four billion, one million, six hundred seventy-seven thousand, six hundred".