85999501699200 has 1152 divisors, whose sum is σ = 338724910218240. Its totient is φ = 21470552064000.

The previous prime is 85999501699169. The next prime is 85999501699247. The reversal of 85999501699200 is 299610599958.

85999501699200 is a `hidden beast` number, since 8 + 5 + 9 + 9 + 9 + 501 + 6 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2524850170 + ... + 2524884230.

It is an arithmetic number, because the mean of its divisors is an integer number (294032040120).

Almost surely, 2^{85999501699200} is an apocalyptic number.

85999501699200 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 85999501699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169362455109120).

85999501699200 is an abundant number, since it is smaller than the sum of its proper divisors (252725408519040).

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

85999501699200 is a wasteful number, since it uses less digits than its factorization.

85999501699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34308 (or 34279 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 72.

The spelling of 85999501699200 in words is "eighty-five trillion, nine hundred ninety-nine billion, five hundred one million, six hundred ninety-nine thousand, two hundred".