96735260160 has 720 divisors, whose sum is σ = 420938245728. Its totient is φ = 20096778240.

The previous prime is 96735260147. The next prime is 96735260173. The reversal of 96735260160 is 6106253769.

96735260160 is a `hidden beast` number, since 9 + 6 + 7 + 35 + 2 + 601 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96735260147) and next prime (96735260173).

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 19512402 + ... + 19517358.

Almost surely, 2^96735260160 is an apocalyptic number.

96735260160 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 96735260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210469122864).

96735260160 is an abundant number, since it is smaller than the sum of its proper divisors (324202985568).

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

96735260160 is a wasteful number, since it uses less digits than its factorization.

96735260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 96735260160 in words is "ninety-six billion, seven hundred thirty-five million, two hundred sixty thousand, one hundred sixty".