83581416036960 has 96 divisors (see below), whose sum is σ = 263343284628480. Its totient is φ = 22283143822848.

The previous prime is 83581416036941. The next prime is 83581416036961. The reversal of 83581416036960 is 6963061418538.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 83581416036894 and 83581416036903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83581416036961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18398032 + ... + 22486671.

It is an arithmetic number, because the mean of its divisors is an integer number (2743159214880).

Almost surely, 2^{83581416036960} is an apocalyptic number.

83581416036960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83581416036960 is an abundant number, since it is smaller than the sum of its proper divisors (179761868591520).

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

83581416036960 is a wasteful number, since it uses less digits than its factorization.

83581416036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40888980 (or 40888972 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 83581416036960 in words is "eighty-three trillion, five hundred eighty-one billion, four hundred sixteen million, thirty-six thousand, nine hundred sixty".