96415094160 has 1440 divisors, whose sum is σ = 439014401280. Its totient is φ = 18503147520.

The previous prime is 96415094147. The next prime is 96415094189. The reversal of 96415094160 is 6149051469.

It is a happy number.

96415094160 is a `hidden beast` number, since 9 + 6 + 41 + 509 + 41 + 60 = 666.

It is a super-2 number, since 2×96415094160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 614108802 + ... + 614108958.

It is an arithmetic number, because the mean of its divisors is an integer number (304871112).

Almost surely, 2^96415094160 is an apocalyptic number.

96415094160 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 96415094160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219507200640).

96415094160 is an abundant number, since it is smaller than the sum of its proper divisors (342599307120).

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

96415094160 is a wasteful number, since it uses less digits than its factorization.

96415094160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

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

The spelling of 96415094160 in words is "ninety-six billion, four hundred fifteen million, ninety-four thousand, one hundred sixty".