93416705740800 has 4992 divisors, whose sum is σ = 414642836160000. Its totient is φ = 20404701757440.

The previous prime is 93416705740783. The next prime is 93416705740877. The reversal of 93416705740800 is 804750761439.

93416705740800 is a `hidden beast` number, since 9 + 3 + 4 + 1 + 67 + 0 + 574 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×93416705740800² (a number of 29 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 383 ways as a sum of consecutive naturals, for example, 1049625907156 + ... + 1049625907244.

Almost surely, 2^{93416705740800} is an apocalyptic number.

93416705740800 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 93416705740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207321418080000).

93416705740800 is an abundant number, since it is smaller than the sum of its proper divisors (321226130419200).

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

93416705740800 is a wasteful number, since it uses less digits than its factorization.

93416705740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 93416705740800 in words is "ninety-three trillion, four hundred sixteen billion, seven hundred five million, seven hundred forty thousand, eight hundred".