21611131302540 has 192 divisors, whose sum is σ = 66856858790400. Its totient is φ = 5183219306496.

The previous prime is 21611131302533. The next prime is 21611131302569. The reversal of 21611131302540 is 4520313111612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21611131302498 and 21611131302507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3122371 + ... + 7278149.

It is an arithmetic number, because the mean of its divisors is an integer number (348212806200).

Almost surely, 2^{21611131302540} is an apocalyptic number.

21611131302540 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 21611131302540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33428429395200).

21611131302540 is an abundant number, since it is smaller than the sum of its proper divisors (45245727487860).

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

21611131302540 is a wasteful number, since it uses less digits than its factorization.

21611131302540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155976 (or 4155974 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 21611131302540 in words is "twenty-one trillion, six hundred eleven billion, one hundred thirty-one million, three hundred two thousand, five hundred forty".