54189576000 has 672 divisors, whose sum is σ = 224506414080. Its totient is φ = 12220416000.

The previous prime is 54189575963. The next prime is 54189576047. The reversal of 54189576000 is 67598145.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39815320 + ... + 39816680.

Almost surely, 2^54189576000 is an apocalyptic number.

54189576000 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 54189576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112253207040).

54189576000 is an abundant number, since it is smaller than the sum of its proper divisors (170316838080).

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

54189576000 is a wasteful number, since it uses less digits than its factorization.

54189576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 54189576000 in words is "fifty-four billion, one hundred eighty-nine million, five hundred seventy-six thousand".