96145274160 has 320 divisors, whose sum is σ = 358630796160. Its totient is φ = 23534530560.

The previous prime is 96145274143. The next prime is 96145274177. The reversal of 96145274160 is 6147254169.

96145274160 is a `hidden beast` number, since 9 + 61 + 4 + 527 + 4 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (96145274143) and next prime (96145274177).

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 63 ways as a sum of consecutive naturals, for example, 5073022 + ... + 5091938.

It is an arithmetic number, because the mean of its divisors is an integer number (1120721238).

Almost surely, 2^96145274160 is an apocalyptic number.

96145274160 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 96145274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179315398080).

96145274160 is an abundant number, since it is smaller than the sum of its proper divisors (262485522000).

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

96145274160 is a wasteful number, since it uses less digits than its factorization.

96145274160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19133 (or 19121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 96145274160 in words is "ninety-six billion, one hundred forty-five million, two hundred seventy-four thousand, one hundred sixty".