11722041538560 has 1152 divisors, whose sum is σ = 42653960294400. Its totient is φ = 2974765547520.

The previous prime is 11722041538549. The next prime is 11722041538583. The reversal of 11722041538560 is 6583514022711.

11722041538560 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 20 + 41 + 538 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31940167497 + ... + 31940167863.

It is an arithmetic number, because the mean of its divisors is an integer number (37026007200).

Almost surely, 2^{11722041538560} is an apocalyptic number.

11722041538560 is a gapful number since it is divisible by the number (10) 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 11722041538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326980147200).

11722041538560 is an abundant number, since it is smaller than the sum of its proper divisors (30931918755840).

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

11722041538560 is a wasteful number, since it uses less digits than its factorization.

11722041538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11722041538560 in words is "eleven trillion, seven hundred twenty-two billion, forty-one million, five hundred thirty-eight thousand, five hundred sixty".