83115608457798 has 768 divisors, whose sum is σ = 233400061440000. Its totient is φ = 21266219520000.

The previous prime is 83115608457787. The next prime is 83115608457859. The reversal of 83115608457798 is 89775480651138.

83115608457798 is a `hidden beast` number, since 8 + 3 + 1 + 1 + 5 + 608 + 4 + 5 + 7 + 7 + 9 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63885939748 + ... + 63885941048.

It is an arithmetic number, because the mean of its divisors is an integer number (303906330000).

Almost surely, 2^{83115608457798} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83115608457798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116700030720000).

83115608457798 is an abundant number, since it is smaller than the sum of its proper divisors (150284452982202).

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

83115608457798 is a wasteful number, since it uses less digits than its factorization.

83115608457798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 83115608457798 in words is "eighty-three trillion, one hundred fifteen billion, six hundred eight million, four hundred fifty-seven thousand, seven hundred ninety-eight".