83765136000 has 1024 divisors, whose sum is σ = 346733936640. Its totient is φ = 17418240000.

The previous prime is 83765135981. The next prime is 83765136023. The reversal of 83765136000 is 63156738.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 83765136000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 554735925 + ... + 554736075.

It is an arithmetic number, because the mean of its divisors is an integer number (338607360).

Almost surely, 2^83765136000 is an apocalyptic number.

83765136000 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 83765136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173366968320).

83765136000 is an abundant number, since it is smaller than the sum of its proper divisors (262968800640).

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

83765136000 is a wasteful number, since it uses less digits than its factorization.

83765136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 83765136000 in words is "eighty-three billion, seven hundred sixty-five million, one hundred thirty-six thousand".