85766199155200 has 120 divisors (see below), whose sum is σ = 213243324643008. Its totient is φ = 34185253908480.

The previous prime is 85766199155173. The next prime is 85766199155209. The reversal of 85766199155200 is 255199166758.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (85766199155209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8215912 + ... + 15460711.

Almost surely, 2^{85766199155200} is an apocalyptic number.

85766199155200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85766199155200 is an abundant number, since it is smaller than the sum of its proper divisors (127477125487808).

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

85766199155200 is a wasteful number, since it uses less digits than its factorization.

85766199155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676934 (or 23676913 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 64.

The spelling of 85766199155200 in words is "eighty-five trillion, seven hundred sixty-six billion, one hundred ninety-nine million, one hundred fifty-five thousand, two hundred".