54931964000 has 576 divisors, whose sum is σ = 157135567680. Its totient is φ = 18800640000.

The previous prime is 54931963993. The next prime is 54931964027. The reversal of 54931964000 is 46913945.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 900523970 + ... + 900524030.

It is an arithmetic number, because the mean of its divisors is an integer number (272804805).

Almost surely, 2^54931964000 is an apocalyptic number.

54931964000 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 54931964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78567783840).

54931964000 is an abundant number, since it is smaller than the sum of its proper divisors (102203603680).

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

54931964000 is a wasteful number, since it uses less digits than its factorization.

54931964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 54931964000 in words is "fifty-four billion, nine hundred thirty-one million, nine hundred sixty-four thousand".