681166577104200 has 1536 divisors, whose sum is σ = 2735202168000000. Its totient is φ = 153983257804800.

The previous prime is 681166577104199. The next prime is 681166577104207. The reversal of 681166577104200 is 2401775661186.

681166577104200 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 66 + 577 + 1 + 0 + 4 + 2 + 0 + 0 = 666.

681166577104200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (681166577104207) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61538216266 + ... + 61538227334.

It is an arithmetic number, because the mean of its divisors is an integer number (1780730578125).

Almost surely, 2^{681166577104200} is an apocalyptic number.

681166577104200 is a gapful number since it is divisible by the number (60) 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 681166577104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367601084000000).

681166577104200 is an abundant number, since it is smaller than the sum of its proper divisors (2054035590895800).

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

681166577104200 is a wasteful number, since it uses less digits than its factorization.

681166577104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11680 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 681166577104200 in words is "six hundred eighty-one trillion, one hundred sixty-six billion, five hundred seventy-seven million, one hundred four thousand, two hundred".