96090195801600 has 7200 divisors, whose sum is σ = 507580965239040. Its totient is φ = 17421425049600.

The previous prime is 96090195801599. The next prime is 96090195801661. The reversal of 96090195801600 is 610859109069.

96090195801600 is a `hidden beast` number, since 9 + 609 + 0 + 19 + 5 + 8 + 0 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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 719 ways as a sum of consecutive naturals, for example, 216907890979 + ... + 216907891421.

Almost surely, 2^{96090195801600} is an apocalyptic number.

96090195801600 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 96090195801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253790482619520).

96090195801600 is an abundant number, since it is smaller than the sum of its proper divisors (411490769437440).

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

96090195801600 is a wasteful number, since it uses less digits than its factorization.

96090195801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 96090195801600 in words is "ninety-six trillion, ninety billion, one hundred ninety-five million, eight hundred one thousand, six hundred".