32252835484800 has 768 divisors, whose sum is σ = 136234653638400. Its totient is φ = 7299072000000.

The previous prime is 32252835484787. The next prime is 32252835484829. The reversal of 32252835484800 is 848453825223.

32252835484800 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 2 + 83 + 5 + 484 + 80 + 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 95 ways as a sum of consecutive naturals, for example, 60820800 + ... + 61348800.

It is an arithmetic number, because the mean of its divisors is an integer number (177388871925).

Almost surely, 2^{32252835484800} is an apocalyptic number.

32252835484800 is a gapful number since it is divisible by the number (30) 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 32252835484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68117326819200).

32252835484800 is an abundant number, since it is smaller than the sum of its proper divisors (103981818153600).

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

32252835484800 is a wasteful number, since it uses less digits than its factorization.

32252835484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528142 (or 528119 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 32252835484800 in words is "thirty-two trillion, two hundred fifty-two billion, eight hundred thirty-five million, four hundred eighty-four thousand, eight hundred".