96274531584 has 864 divisors, whose sum is σ = 364270233600. Its totient is φ = 24634368000.

The previous prime is 96274531543. The next prime is 96274531601. The reversal of 96274531584 is 48513547269.

It is a happy number.

96274531584 is a `hidden beast` number, since 9 + 6 + 2 + 7 + 4 + 53 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×96274531584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 96274531584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483791517 + ... + 483791715.

Almost surely, 2^96274531584 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 96274531584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182135116800).

96274531584 is an abundant number, since it is smaller than the sum of its proper divisors (267995702016).

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

96274531584 is a wasteful number, since it uses less digits than its factorization.

96274531584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 96274531584 in words is "ninety-six billion, two hundred seventy-four million, five hundred thirty-one thousand, five hundred eighty-four".