96570532800 has 1512 divisors, whose sum is σ = 428355489744. Its totient is φ = 21319925760.

The previous prime is 96570532783. The next prime is 96570532847. The reversal of 96570532800 is 823507569.

It is a happy number.

96570532800 is a `hidden beast` number, since 9 + 6 + 570 + 53 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-3 number, since 3×96570532800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 704894332 + ... + 704894468.

Almost surely, 2^96570532800 is an apocalyptic number.

96570532800 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 96570532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214177744872).

96570532800 is an abundant number, since it is smaller than the sum of its proper divisors (331784956944).

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

96570532800 is a wasteful number, since it uses less digits than its factorization.

96570532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 96570532800 in words is "ninety-six billion, five hundred seventy million, five hundred thirty-two thousand, eight hundred".