54953928000 has 1008 divisors, whose sum is σ = 221395137600. Its totient is φ = 12972441600.

The previous prime is 54953927971. The next prime is 54953928047. The reversal of 54953928000 is 82935945.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 395351931 + ... + 395352069.

Almost surely, 2^54953928000 is an apocalyptic number.

54953928000 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 54953928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110697568800).

54953928000 is an abundant number, since it is smaller than the sum of its proper divisors (166441209600).

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

54953928000 is a wasteful number, since it uses less digits than its factorization.

54953928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54953928000 in words is "fifty-four billion, nine hundred fifty-three million, nine hundred twenty-eight thousand".