83087894400 has 768 divisors, whose sum is σ = 333627932160. Its totient is φ = 17741905920.

The previous prime is 83087894389. The next prime is 83087894431. The reversal of 83087894400 is 449878038.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293596659 + ... + 293596941.

It is an arithmetic number, because the mean of its divisors is an integer number (434411370).

Almost surely, 2^83087894400 is an apocalyptic number.

83087894400 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 83087894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166813966080).

83087894400 is an abundant number, since it is smaller than the sum of its proper divisors (250540037760).

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

83087894400 is a wasteful number, since it uses less digits than its factorization.

83087894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 83087894400 in words is "eighty-three billion, eighty-seven million, eight hundred ninety-four thousand, four hundred".