97732571328000 has 3840 divisors, whose sum is σ = 455320650470400. Its totient is φ = 20522867097600.

The previous prime is 97732571327981. The next prime is 97732571328031. The reversal of 97732571328000 is 82317523779.

97732571328000 is a `hidden beast` number, since 9 + 7 + 7 + 32 + 571 + 32 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61895231211 + ... + 61895232789.

It is an arithmetic number, because the mean of its divisors is an integer number (118573086060).

Almost surely, 2^{97732571328000} is an apocalyptic number.

97732571328000 is a gapful number since it is divisible by the number (90) 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 97732571328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227660325235200).

97732571328000 is an abundant number, since it is smaller than the sum of its proper divisors (357588079142400).

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

97732571328000 is a wasteful number, since it uses less digits than its factorization.

97732571328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 97732571328000 in words is "ninety-seven trillion, seven hundred thirty-two billion, five hundred seventy-one million, three hundred twenty-eight thousand".