96020870400 has 972 divisors, whose sum is σ = 430227810012. Its totient is φ = 20251607040.

The previous prime is 96020870389. The next prime is 96020870401. The reversal of 96020870400 is 407802069.

96020870400 is a `hidden beast` number, since 9 + 602 + 0 + 8 + 7 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49787136 + 95971083264 = 7056^2 + 309792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96020870401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36689892 + ... + 36692508.

Almost surely, 2^96020870400 is an apocalyptic number.

96020870400 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 96020870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215113905006).

96020870400 is an abundant number, since it is smaller than the sum of its proper divisors (334206939612).

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

96020870400 is a wasteful number, since it uses less digits than its factorization.

96020870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 96020870400 in words is "ninety-six billion, twenty million, eight hundred seventy thousand, four hundred".