54991332000 has 768 divisors, whose sum is σ = 223889702400. Its totient is φ = 12994560000.

The previous prime is 54991331999. The next prime is 54991332031. The reversal of 54991332000 is 23319945.

It is a happy number.

54991332000 is a `hidden beast` number, since 549 + 91 + 3 + 3 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48707436 + ... + 48708564.

It is an arithmetic number, because the mean of its divisors is an integer number (291523050).

Almost surely, 2^54991332000 is an apocalyptic number.

54991332000 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 54991332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111944851200).

54991332000 is an abundant number, since it is smaller than the sum of its proper divisors (168898370400).

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

54991332000 is a wasteful number, since it uses less digits than its factorization.

54991332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 54991332000 in words is "fifty-four billion, nine hundred ninety-one million, three hundred thirty-two thousand".