96158361600 has 1152 divisors, whose sum is σ = 425722752000. Its totient is φ = 20782448640.

The previous prime is 96158361583. The next prime is 96158361631. The reversal of 96158361600 is 616385169.

96158361600 is a `hidden beast` number, since 9 + 6 + 1 + 5 + 8 + 36 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 183858939 + ... + 183859461.

It is an arithmetic number, because the mean of its divisors is an integer number (369551000).

Almost surely, 2^96158361600 is an apocalyptic number.

96158361600 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 96158361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212861376000).

96158361600 is an abundant number, since it is smaller than the sum of its proper divisors (329564390400).

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

96158361600 is a wasteful number, since it uses less digits than its factorization.

96158361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 96158361600 in words is "ninety-six billion, one hundred fifty-eight million, three hundred sixty-one thousand, six hundred".