94993158920800 has 576 divisors, whose sum is σ = 283015235865600. Its totient is φ = 30409261056000.

The previous prime is 94993158920783. The next prime is 94993158920827. The reversal of 94993158920800 is 802985139949.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12435283381 + ... + 12435291019.

It is an arithmetic number, because the mean of its divisors is an integer number (491345895600).

Almost surely, 2^{94993158920800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94993158920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141507617932800).

94993158920800 is an abundant number, since it is smaller than the sum of its proper divisors (188022076944800).

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

94993158920800 is a wasteful number, since it uses less digits than its factorization.

94993158920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 67.

The spelling of 94993158920800 in words is "ninety-four trillion, nine hundred ninety-three billion, one hundred fifty-eight million, nine hundred twenty thousand, eight hundred".