96933178742400 has 8640 divisors, whose sum is σ = 524472505048800. Its totient is φ = 17281680998400.

The previous prime is 96933178742383. The next prime is 96933178742471. The reversal of 96933178742400 is 424787133969.

96933178742400 is a `hidden beast` number, since 9 + 6 + 9 + 3 + 317 + 8 + 74 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-2 number, since 2×96933178742400² (a number of 29 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 1828927900774 + ... + 1828927900826.

Almost surely, 2^{96933178742400} is an apocalyptic number.

96933178742400 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 96933178742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262236252524400).

96933178742400 is an abundant number, since it is smaller than the sum of its proper divisors (427539326306400).

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

96933178742400 is a wasteful number, since it uses less digits than its factorization.

96933178742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 96933178742400 in words is "ninety-six trillion, nine hundred thirty-three billion, one hundred seventy-eight million, seven hundred forty-two thousand, four hundred".