85643366400 has 936 divisors, whose sum is σ = 332209922720. Its totient is φ = 21021327360.

The previous prime is 85643366363. The next prime is 85643366429. The reversal of 85643366400 is 466334658.

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, 1173196764 + ... + 1173196836.

Almost surely, 2^85643366400 is an apocalyptic number.

85643366400 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 85643366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166104961360).

85643366400 is an abundant number, since it is smaller than the sum of its proper divisors (246566556320).

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

85643366400 is a wasteful number, since it uses less digits than its factorization.

85643366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 85643366400 in words is "eighty-five billion, six hundred forty-three million, three hundred sixty-six thousand, four hundred".