53751552000 has 768 divisors, whose sum is σ = 198698572800. Its totient is φ = 12831948800.

The previous prime is 53751551989. The next prime is 53751552073. The reversal of 53751552000 is 25515735.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300287911 + ... + 300288089.

It is an arithmetic number, because the mean of its divisors is an integer number (258722100).

Almost surely, 2^53751552000 is an apocalyptic number.

53751552000 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 53751552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99349286400).

53751552000 is an abundant number, since it is smaller than the sum of its proper divisors (144947020800).

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

53751552000 is a wasteful number, since it uses less digits than its factorization.

53751552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The spelling of 53751552000 in words is "fifty-three billion, seven hundred fifty-one million, five hundred fifty-two thousand".