2131326526560 has 1152 divisors, whose sum is σ = 8886105575424. Its totient is φ = 417038561280.

The previous prime is 2131326526531. The next prime is 2131326526561. The reversal of 2131326526560 is 656256231312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131326526561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1309972467 + ... + 1309974093.

It is an arithmetic number, because the mean of its divisors is an integer number (7713633312).

Almost surely, 2^{2131326526560} is an apocalyptic number.

2131326526560 is a gapful number since it is divisible by the number (20) 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 2131326526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443052787712).

2131326526560 is an abundant number, since it is smaller than the sum of its proper divisors (6754779048864).

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

2131326526560 is a wasteful number, since it uses less digits than its factorization.

2131326526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 2131326526560 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-six million, five hundred twenty-six thousand, five hundred sixty".