96130085990400 has 3744 divisors, whose sum is σ = 451684262856960. Its totient is φ = 19818086400000.

The previous prime is 96130085990357. The next prime is 96130085990467. The reversal of 96130085990400 is 409958003169.

96130085990400 is a `hidden beast` number, since 9 + 6 + 1 + 3 + 0 + 0 + 8 + 599 + 0 + 40 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 374047027072 + ... + 374047027328.

Almost surely, 2^{96130085990400} is an apocalyptic number.

96130085990400 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 96130085990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225842131428480).

96130085990400 is an abundant number, since it is smaller than the sum of its proper divisors (355554176866560).

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

96130085990400 is a wasteful number, since it uses less digits than its factorization.

96130085990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 96130085990400 in words is "ninety-six trillion, one hundred thirty billion, eighty-five million, nine hundred ninety thousand, four hundred".