85951771200 has 504 divisors, whose sum is σ = 315347022848. Its totient is φ = 22190837760.

The previous prime is 85951771127. The next prime is 85951771223. The reversal of 85951771200 is 217715958.

85951771200 is a `hidden beast` number, since 8 + 5 + 9 + 517 + 7 + 120 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78637854 + ... + 78638946.

Almost surely, 2^85951771200 is an apocalyptic number.

85951771200 is a gapful number since it is divisible by the number (80) 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 85951771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157673511424).

85951771200 is an abundant number, since it is smaller than the sum of its proper divisors (229395251648).

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

85951771200 is a wasteful number, since it uses less digits than its factorization.

85951771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 85951771200 in words is "eighty-five billion, nine hundred fifty-one million, seven hundred seventy-one thousand, two hundred".