93198857859072 has 624 divisors, whose sum is σ = 340084300597920. Its totient is φ = 25061852971008.

The previous prime is 93198857859061. The next prime is 93198857859097. The reversal of 93198857859072 is 27095875889139.

93198857859072 is a `hidden beast` number, since 9 + 3 + 19 + 8 + 8 + 5 + 7 + 8 + 590 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 93198857858982 and 93198857859000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91617298 + ... + 92628974.

Almost surely, 2^{93198857859072} 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 93198857859072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170042150298960).

93198857859072 is an abundant number, since it is smaller than the sum of its proper divisors (246885442738848).

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

93198857859072 is a wasteful number, since it uses less digits than its factorization.

93198857859072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011741 (or 1011706 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 81.

The spelling of 93198857859072 in words is "ninety-three trillion, one hundred ninety-eight billion, eight hundred fifty-seven million, eight hundred fifty-nine thousand, seventy-two".