2356801198080 has 768 divisors, whose sum is σ = 9095035622400. Its totient is φ = 508970926080.

The previous prime is 2356801198079. The next prime is 2356801198093. The reversal of 2356801198080 is 808911086532.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (51) 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2504570410 + ... + 2504571350.

It is an arithmetic number, because the mean of its divisors is an integer number (11842494300).

Almost surely, 2^{2356801198080} is an apocalyptic number.

2356801198080 is a gapful number since it is divisible by the number (20) 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 2356801198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547517811200).

2356801198080 is an abundant number, since it is smaller than the sum of its proper divisors (6738234424320).

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

2356801198080 is a wasteful number, since it uses less digits than its factorization.

2356801198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 2356801198080 in words is "two trillion, three hundred fifty-six billion, eight hundred one million, one hundred ninety-eight thousand, eighty".