85834918400 has 480 divisors, whose sum is σ = 268995247488. Its totient is φ = 26365132800.

The previous prime is 85834918397. The next prime is 85834918409. The reversal of 85834918400 is 481943858.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (85834918409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71948204 + ... + 71949396.

Almost surely, 2^85834918400 is an apocalyptic number.

85834918400 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 85834918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134497623744).

85834918400 is an abundant number, since it is smaller than the sum of its proper divisors (183160329088).

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

85834918400 is a wasteful number, since it uses less digits than its factorization.

85834918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 85834918400 in words is "eighty-five billion, eight hundred thirty-four million, nine hundred eighteen thousand, four hundred".