83890713600 has 792 divisors, whose sum is σ = 314243125248. Its totient is φ = 21366374400.

The previous prime is 83890713563. The next prime is 83890713617. The reversal of 83890713600 is 631709838.

It is a happy number.

83890713600 is a `hidden beast` number, since 8 + 38 + 9 + 0 + 7 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 660556737 + ... + 660556863.

Almost surely, 2^83890713600 is an apocalyptic number.

83890713600 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 83890713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157121562624).

83890713600 is an abundant number, since it is smaller than the sum of its proper divisors (230352411648).

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

83890713600 is a wasteful number, since it uses less digits than its factorization.

83890713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 83890713600 in words is "eighty-three billion, eight hundred ninety million, seven hundred thirteen thousand, six hundred".