96984406512 has 720 divisors, whose sum is σ = 350555063040. Its totient is φ = 25355483136.

The previous prime is 96984406499. The next prime is 96984406523. The reversal of 96984406512 is 21560448969.

96984406512 is a `hidden beast` number, since 9 + 6 + 9 + 84 + 40 + 6 + 512 = 666.

It is a super-2 number, since 2×96984406512² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 707915308 + ... + 707915444.

It is an arithmetic number, because the mean of its divisors is an integer number (486882032).

Almost surely, 2^96984406512 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 96984406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175277531520).

96984406512 is an abundant number, since it is smaller than the sum of its proper divisors (253570656528).

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

96984406512 is a wasteful number, since it uses less digits than its factorization.

96984406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 96984406512 in words is "ninety-six billion, nine hundred eighty-four million, four hundred six thousand, five hundred twelve".