68202381502800 has 180 divisors, whose sum is σ = 237305702345920. Its totient is φ = 18139313767680.

The previous prime is 68202381502789. The next prime is 68202381502841. The reversal of 68202381502800 is 820518320286.

68202381502800 is a `hidden beast` number, since 68 + 2 + 0 + 2 + 3 + 8 + 1 + 502 + 80 + 0 = 666.

68202381502800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 23629144 + ... + 26357943.

Almost surely, 2^{68202381502800} is an apocalyptic number.

68202381502800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68202381502800 is an abundant number, since it is smaller than the sum of its proper divisors (169103320843120).

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

68202381502800 is a wasteful number, since it uses less digits than its factorization.

68202381502800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49987490 (or 49987476 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68202381502800 in words is "sixty-eight trillion, two hundred two billion, three hundred eighty-one million, five hundred two thousand, eight hundred".