53997148800 has 1536 divisors, whose sum is σ = 246079488000. Its totient is φ = 11287019520.

The previous prime is 53997148769. The next prime is 53997148811. The reversal of 53997148800 is 884179935.

53997148800 is a `hidden beast` number, since 5 + 3 + 99 + 71 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 425174337 + ... + 425174463.

It is an arithmetic number, because the mean of its divisors is an integer number (160208000).

Almost surely, 2^53997148800 is an apocalyptic number.

53997148800 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 53997148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123039744000).

53997148800 is an abundant number, since it is smaller than the sum of its proper divisors (192082339200).

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

53997148800 is a wasteful number, since it uses less digits than its factorization.

53997148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 53997148800 in words is "fifty-three billion, nine hundred ninety-seven million, one hundred forty-eight thousand, eight hundred".