54188590080 has 176 divisors, whose sum is σ = 175516657920. Its totient is φ = 14267056128.

The previous prime is 54188590073. The next prime is 54188590081. The reversal of 54188590080 is 8009588145.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54188590081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1191112 + ... + 1235768.

Almost surely, 2^54188590080 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 54188590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87758328960).

54188590080 is an abundant number, since it is smaller than the sum of its proper divisors (121328067840).

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

54188590080 is a wasteful number, since it uses less digits than its factorization.

54188590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44764 (or 44746 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 54188590080 in words is "fifty-four billion, one hundred eighty-eight million, five hundred ninety thousand, eighty".