53332088532800 has 672 divisors, whose sum is σ = 173624874796800. Its totient is φ = 15610046054400.

The previous prime is 53332088532797. The next prime is 53332088532809. The reversal of 53332088532800 is 823588023335.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53332088532809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 940357244 + ... + 940413956.

It is an arithmetic number, because the mean of its divisors is an integer number (258370349400).

Almost surely, 2^{53332088532800} is an apocalyptic number.

53332088532800 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 53332088532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86812437398400).

53332088532800 is an abundant number, since it is smaller than the sum of its proper divisors (120292786264000).

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

53332088532800 is a wasteful number, since it uses less digits than its factorization.

53332088532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57219 (or 57204 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 53332088532800 in words is "fifty-three trillion, three hundred thirty-two billion, eighty-eight million, five hundred thirty-two thousand, eight hundred".