83196901501560 has 1920 divisors, whose sum is σ = 361654698303360. Its totient is φ = 16783778119680.

The previous prime is 83196901501513. The next prime is 83196901501579. The reversal of 83196901501560 is 6510510969138.

83196901501560 is a `hidden beast` number, since 8 + 3 + 1 + 9 + 69 + 0 + 15 + 0 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83196901501497 and 83196901501506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14108340532 + ... + 14108346428.

It is an arithmetic number, because the mean of its divisors is an integer number (188361822033).

Almost surely, 2^{83196901501560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83196901501560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180827349151680).

83196901501560 is an abundant number, since it is smaller than the sum of its proper divisors (278457796801800).

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

83196901501560 is a wasteful number, since it uses less digits than its factorization.

83196901501560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 83196901501560 in words is "eighty-three trillion, one hundred ninety-six billion, nine hundred one million, five hundred one thousand, five hundred sixty".