83121560007864 has 128 divisors (see below), whose sum is σ = 240555061716480. Its totient is φ = 23443012800000.

The previous prime is 83121560007797. The next prime is 83121560007869. The reversal of 83121560007864 is 46870006512138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83121560007869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13944114 + ... + 18991614.

It is an arithmetic number, because the mean of its divisors is an integer number (1879336419660).

Almost surely, 2^{83121560007864} is an apocalyptic number.

83121560007864 is a gapful number since it is divisible by the number (84) 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 83121560007864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120277530858240).

83121560007864 is an abundant number, since it is smaller than the sum of its proper divisors (157433501708616).

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

83121560007864 is a wasteful number, since it uses less digits than its factorization.

83121560007864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048781 (or 5048777 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 83121560007864 in words is "eighty-three trillion, one hundred twenty-one billion, five hundred sixty million, seven thousand, eight hundred sixty-four".