85386415400 has 96 divisors (see below), whose sum is σ = 233230384800. Its totient is φ = 28661164800.

The previous prime is 85386415391. The next prime is 85386415403. The reversal of 85386415400 is 451468358.

It is a super-2 number, since 2×85386415400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (85386415403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464170 + ... + 1521369.

It is an arithmetic number, because the mean of its divisors is an integer number (2429483175).

Almost surely, 2^85386415400 is an apocalyptic number.

It is an amenable number.

85386415400 is an abundant number, since it is smaller than the sum of its proper divisors (147843969400).

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

85386415400 is a wasteful number, since it uses less digits than its factorization.

85386415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985579 (or 2985570 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 85386415400 in words is "eighty-five billion, three hundred eighty-six million, four hundred fifteen thousand, four hundred".