83000110152960 has 5184 divisors, whose sum is σ = 415512341637120. Its totient is φ = 15012200448000.

The previous prime is 83000110152881. The next prime is 83000110152977. The reversal of 83000110152960 is 6925101100038.

83000110152960 is a `hidden beast` number, since 8 + 300 + 0 + 110 + 152 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 575 ways as a sum of consecutive naturals, for example, 102595933036 + ... + 102595933844.

It is an arithmetic number, because the mean of its divisors is an integer number (80152843680).

Almost surely, 2^{83000110152960} is an apocalyptic number.

83000110152960 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 83000110152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207756170818560).

83000110152960 is an abundant number, since it is smaller than the sum of its proper divisors (332512231484160).

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

83000110152960 is a wasteful number, since it uses less digits than its factorization.

83000110152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 83000110152960 its reverse (6925101100038), we get a palindrome (89925211252998).

The spelling of 83000110152960 in words is "eighty-three trillion, one hundred ten million, one hundred fifty-two thousand, nine hundred sixty".