83097115920 has 960 divisors, whose sum is σ = 360336936960. Its totient is φ = 17329158144.

The previous prime is 83097115919. The next prime is 83097115943. The reversal of 83097115920 is 2951179038.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 189287061 + ... + 189287499.

It is an arithmetic number, because the mean of its divisors is an integer number (375350976).

Almost surely, 2^83097115920 is an apocalyptic number.

83097115920 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 83097115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180168468480).

83097115920 is an abundant number, since it is smaller than the sum of its proper divisors (277239821040).

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

83097115920 is a wasteful number, since it uses less digits than its factorization.

83097115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 83097115920 in words is "eighty-three billion, ninety-seven million, one hundred fifteen thousand, nine hundred twenty".