96087720960 has 2112 divisors, whose sum is σ = 463516784640. Its totient is φ = 18473287680.

The previous prime is 96087720941. The next prime is 96087720961. The reversal of 96087720960 is 6902778069.

96087720960 is a `hidden beast` number, since 9 + 608 + 7 + 7 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96087720897 and 96087720906.

It is not an unprimeable number, because it can be changed into a prime (96087720961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1628605411 + ... + 1628605469.

Almost surely, 2^96087720960 is an apocalyptic number.

96087720960 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 96087720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231758392320).

96087720960 is an abundant number, since it is smaller than the sum of its proper divisors (367429063680).

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

96087720960 is a wasteful number, since it uses less digits than its factorization.

96087720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 96087720960 in words is "ninety-six billion, eighty-seven million, seven hundred twenty thousand, nine hundred sixty".