8153351980200 has 576 divisors, whose sum is σ = 32785040670720. Its totient is φ = 1776582720000.

The previous prime is 8153351980139. The next prime is 8153351980217. The reversal of 8153351980200 is 20891533518.

8153351980200 is a `hidden beast` number, since 8 + 1 + 5 + 3 + 351 + 98 + 0 + 200 = 666.

It is a super-2 number, since 2×8153351980200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 26014425 + ... + 26325975.

Almost surely, 2^{8153351980200} 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 8153351980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392520335360).

8153351980200 is an abundant number, since it is smaller than the sum of its proper divisors (24631688690520).

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

8153351980200 is a wasteful number, since it uses less digits than its factorization.

8153351980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311678 (or 311666 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 8153351980200 in words is "eight trillion, one hundred fifty-three billion, three hundred fifty-one million, nine hundred eighty thousand, two hundred".