85001616800 has 72 divisors (see below), whose sum is σ = 207570527136. Its totient is φ = 33990762240.

The previous prime is 85001616781. The next prime is 85001616803. The reversal of 85001616800 is 861610058.

It is a super-2 number, since 2×85001616800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85001616803) 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, 3140927 + ... + 3167873.

It is an arithmetic number, because the mean of its divisors is an integer number (2882923988).

Almost surely, 2^85001616800 is an apocalyptic number.

85001616800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85001616800 is an abundant number, since it is smaller than the sum of its proper divisors (122568910336).

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

85001616800 is a wasteful number, since it uses less digits than its factorization.

85001616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30910 (or 30897 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 85001616800 in words is "eighty-five billion, one million, six hundred sixteen thousand, eight hundred".