85933247400 has 1152 divisors, whose sum is σ = 398262009600. Its totient is φ = 16024780800.

The previous prime is 85933247377. The next prime is 85933247423. The reversal of 85933247400 is 474233958.

It is an interprime number because it is at equal distance from previous prime (85933247377) and next prime (85933247423).

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 287 ways as a sum of consecutive naturals, for example, 66665956 + ... + 66667244.

It is an arithmetic number, because the mean of its divisors is an integer number (345713550).

Almost surely, 2^85933247400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85933247400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199131004800).

85933247400 is an abundant number, since it is smaller than the sum of its proper divisors (312328762200).

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

85933247400 is a wasteful number, since it uses less digits than its factorization.

85933247400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 85933 and 247400, that added together give a palindrome (333333).

The spelling of 85933247400 in words is "eighty-five billion, nine hundred thirty-three million, two hundred forty-seven thousand, four hundred".