96003965200 has 450 divisors, whose sum is σ = 277562814270. Its totient is φ = 31892889600.

The previous prime is 96003965147. The next prime is 96003965219. The reversal of 96003965200 is 256930069.

It can be written as a sum of positive squares in 9 ways, for example, as 63586682896 + 32417282304 = 252164^2 + 180048^2 .

It is a super-2 number, since 2×96003965200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 989731552 + ... + 989731648.

Almost surely, 2^96003965200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96003965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138781407135).

96003965200 is an abundant number, since it is smaller than the sum of its proper divisors (181558849070).

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

96003965200 is a wasteful number, since it uses less digits than its factorization.

96003965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The spelling of 96003965200 in words is "ninety-six billion, three million, nine hundred sixty-five thousand, two hundred".