83296097280 has 1320 divisors, whose sum is σ = 354172595040. Its totient is φ = 18513100800.

The previous prime is 83296097279. The next prime is 83296097321. The reversal of 83296097280 is 8279069238.

It is a happy number.

83296097280 is a `hidden beast` number, since 8 + 3 + 2 + 9 + 609 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 119 ways as a sum of consecutive naturals, for example, 2686970865 + ... + 2686970895.

It is an arithmetic number, because the mean of its divisors is an integer number (268312572).

Almost surely, 2^83296097280 is an apocalyptic number.

83296097280 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 83296097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177086297520).

83296097280 is an abundant number, since it is smaller than the sum of its proper divisors (270876497760).

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

83296097280 is a wasteful number, since it uses less digits than its factorization.

83296097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 83296097280 in words is "eighty-three billion, two hundred ninety-six million, ninety-seven thousand, two hundred eighty".