96860836800 has 1680 divisors, whose sum is σ = 450736484352. Its totient is φ = 19856793600.

The previous prime is 96860836799. The next prime is 96860836819. The reversal of 96860836800 is 863806869.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 507124705 + ... + 507124895.

Almost surely, 2^96860836800 is an apocalyptic number.

96860836800 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 96860836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225368242176).

96860836800 is an abundant number, since it is smaller than the sum of its proper divisors (353875647552).

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

96860836800 is a wasteful number, since it uses less digits than its factorization.

96860836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 96860836800 in words is "ninety-six billion, eight hundred sixty million, eight hundred thirty-six thousand, eight hundred".