85161290400 has 864 divisors, whose sum is σ = 330620838912. Its totient is φ = 20559052800.

The previous prime is 85161290399. The next prime is 85161290413. The reversal of 85161290400 is 409216158.

85161290400 is a `hidden beast` number, since 8 + 5 + 161 + 2 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 272080644 + ... + 272080956.

It is an arithmetic number, because the mean of its divisors is an integer number (382663008).

Almost surely, 2^85161290400 is an apocalyptic number.

85161290400 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 85161290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165310419456).

85161290400 is an abundant number, since it is smaller than the sum of its proper divisors (245459548512).

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

85161290400 is a wasteful number, since it uses less digits than its factorization.

85161290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 85161290400 in words is "eighty-five billion, one hundred sixty-one million, two hundred ninety thousand, four hundred".