21131662742610 has 256 divisors, whose sum is σ = 59658527047680. Its totient is φ = 4690001514240.

The previous prime is 21131662742581. The next prime is 21131662742611. The reversal of 21131662742610 is 1624726613112.

It is a super-2 number, since 2×21131662742610² (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21131662742611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3558115021 + ... + 3558120959.

It is an arithmetic number, because the mean of its divisors is an integer number (233041121280).

Almost surely, 2^{21131662742610} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131662742610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29829263523840).

21131662742610 is an abundant number, since it is smaller than the sum of its proper divisors (38526864305070).

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

21131662742610 is a wasteful number, since it uses less digits than its factorization.

21131662742610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 21131662742610 in words is "twenty-one trillion, one hundred thirty-one billion, six hundred sixty-two million, seven hundred forty-two thousand, six hundred ten".