93396387661056 has 180 divisors, whose sum is σ = 278610337605600. Its totient is φ = 31118803043328.

The previous prime is 93396387661051. The next prime is 93396387661111. The reversal of 93396387661056 is 65016678369339.

93396387661056 is a `hidden beast` number, since 93 + 3 + 96 + 387 + 66 + 10 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93396387661051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47538685 + ... + 49464323.

It is an arithmetic number, because the mean of its divisors is an integer number (1547835208920).

Almost surely, 2^{93396387661056} is an apocalyptic number.

93396387661056 is a gapful number since it is divisible by the number (96) 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 93396387661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139305168802800).

93396387661056 is an abundant number, since it is smaller than the sum of its proper divisors (185213949944544).

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

93396387661056 is a wasteful number, since it uses less digits than its factorization.

93396387661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928006 (or 1927983 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 93396387661056 in words is "ninety-three trillion, three hundred ninety-six billion, three hundred eighty-seven million, six hundred sixty-one thousand, fifty-six".