93779997696000 has 7168 divisors, whose sum is σ = 471075471360000. Its totient is φ = 18207866880000.

The previous prime is 93779997695947. The next prime is 93779997696001. The reversal of 93779997696000 is 69679997739.

93779997696000 is a `hidden beast` number, since 9 + 377 + 9 + 99 + 76 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

It is not an unprimeable number, because it can be changed into a prime (93779997696001) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 3025161215985 + ... + 3025161216015.

Almost surely, 2^{93779997696000} is an apocalyptic number.

93779997696000 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 93779997696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235537735680000).

93779997696000 is an abundant number, since it is smaller than the sum of its proper divisors (377295473664000).

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

93779997696000 is a wasteful number, since it uses less digits than its factorization.

93779997696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2187411156, while the sum is 81.

The spelling of 93779997696000 in words is "ninety-three trillion, seven hundred seventy-nine billion, nine hundred ninety-seven million, six hundred ninety-six thousand".