96958038240 has 1152 divisors, whose sum is σ = 413021306880. Its totient is φ = 20233027584.

The previous prime is 96958038239. The next prime is 96958038253. The reversal of 96958038240 is 4283085969.

96958038240 is a `hidden beast` number, since 9 + 6 + 9 + 580 + 38 + 24 + 0 = 666.

It is a super-2 number, since 2×96958038240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 763449057 + ... + 763449183.

It is an arithmetic number, because the mean of its divisors is an integer number (358525440).

Almost surely, 2^96958038240 is an apocalyptic number.

96958038240 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 96958038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206510653440).

96958038240 is an abundant number, since it is smaller than the sum of its proper divisors (316063268640).

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

96958038240 is a wasteful number, since it uses less digits than its factorization.

96958038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

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

The spelling of 96958038240 in words is "ninety-six billion, nine hundred fifty-eight million, thirty-eight thousand, two hundred forty".