83886818400 has 1152 divisors, whose sum is σ = 390694993920. Its totient is φ = 16858368000.

The previous prime is 83886818387. The next prime is 83886818423. The reversal of 83886818400 is 481868838.

83886818400 is a `hidden beast` number, since 83 + 8 + 86 + 81 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51558387 + ... + 51560013.

It is an arithmetic number, because the mean of its divisors is an integer number (339144960).

Almost surely, 2^83886818400 is an apocalyptic number.

83886818400 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 83886818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195347496960).

83886818400 is an abundant number, since it is smaller than the sum of its proper divisors (306808175520).

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

83886818400 is a wasteful number, since it uses less digits than its factorization.

83886818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 83886818400 in words is "eighty-three billion, eight hundred eighty-six million, eight hundred eighteen thousand, four hundred".