96268124160 has 952 divisors, whose sum is σ = 385084500864. Its totient is φ = 22932357120.

The previous prime is 96268124159. The next prime is 96268124177. The reversal of 96268124160 is 6142186269.

96268124160 is a `hidden beast` number, since 9 + 626 + 8 + 1 + 2 + 4 + 16 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3105423345 + ... + 3105423375.

Almost surely, 2^96268124160 is an apocalyptic number.

96268124160 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 96268124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192542250432).

96268124160 is an abundant number, since it is smaller than the sum of its proper divisors (288816376704).

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

96268124160 is an frugal number, since it uses more digits than its factorization.

96268124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 96268124160 in words is "ninety-six billion, two hundred sixty-eight million, one hundred twenty-four thousand, one hundred sixty".