54375511680 has 768 divisors, whose sum is σ = 226048320000. Its totient is φ = 12316631040.

The previous prime is 54375511657. The next prime is 54375511733. The reversal of 54375511680 is 8611557345.

54375511680 is a `hidden beast` number, since 5 + 4 + 3 + 7 + 551 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 126161065 + ... + 126161495.

It is an arithmetic number, because the mean of its divisors is an integer number (294333750).

Almost surely, 2^54375511680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54375511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113024160000).

54375511680 is an abundant number, since it is smaller than the sum of its proper divisors (171672808320).

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

54375511680 is a wasteful number, since it uses less digits than its factorization.

54375511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 54375511680 in words is "fifty-four billion, three hundred seventy-five million, five hundred eleven thousand, six hundred eighty".