96937951703040 has 6240 divisors, whose sum is σ = 461256716289600. Its totient is φ = 19310743388160.

The previous prime is 96937951702973. The next prime is 96937951703059. The reversal of 96937951703040 is 4030715973969.

96937951703040 is a `hidden beast` number, since 9 + 6 + 9 + 3 + 79 + 517 + 0 + 3 + 0 + 40 = 666.

It is a super-3 number, since 3×96937951703040³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1643016130531 + ... + 1643016130589.

Almost surely, 2^{96937951703040} is an apocalyptic number.

96937951703040 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 96937951703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230628358144800).

96937951703040 is an abundant number, since it is smaller than the sum of its proper divisors (364318764586560).

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

96937951703040 is a wasteful number, since it uses less digits than its factorization.

96937951703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 96937951703040 in words is "ninety-six trillion, nine hundred thirty-seven billion, nine hundred fifty-one million, seven hundred three thousand, forty".