96913843200 has 594 divisors, whose sum is σ = 360949634786. Its totient is φ = 25798901760.

The previous prime is 96913843141. The next prime is 96913843231. The reversal of 96913843200 is 234831969.

It is a happy number.

96913843200 is a `hidden beast` number, since 9 + 69 + 1 + 384 + 3 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31066177536 + 65847665664 = 176256^2 + 256608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 167961312 + ... + 167961888.

Almost surely, 2^96913843200 is an apocalyptic number.

96913843200 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 96913843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180474817393).

96913843200 is an abundant number, since it is smaller than the sum of its proper divisors (264035791586).

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

96913843200 is an frugal number, since it uses more digits than its factorization.

96913843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 96913843200 in words is "ninety-six billion, nine hundred thirteen million, eight hundred forty-three thousand, two hundred".