96760895723520 has 1536 divisors, whose sum is σ = 376012423987200. Its totient is φ = 20765645733888.

The previous prime is 96760895723477. The next prime is 96760895723537. The reversal of 96760895723520 is 2532759806769.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×96760895723520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94956717571 + ... + 94956718589.

It is an arithmetic number, because the mean of its divisors is an integer number (244799755200).

Almost surely, 2^{96760895723520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96760895723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006211993600).

96760895723520 is an abundant number, since it is smaller than the sum of its proper divisors (279251528263680).

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

96760895723520 is a wasteful number, since it uses less digits than its factorization.

96760895723520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 69.

The spelling of 96760895723520 in words is "ninety-six trillion, seven hundred sixty billion, eight hundred ninety-five million, seven hundred twenty-three thousand, five hundred twenty".