11537963630592 has 960 divisors, whose sum is σ = 38810555965440. Its totient is φ = 2972712960000.

The previous prime is 11537963630579. The next prime is 11537963630617. The reversal of 11537963630592 is 29503636973511.

It is a congruent number.

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, 42575511417 + ... + 42575511687.

It is an arithmetic number, because the mean of its divisors is an integer number (40427662464).

Almost surely, 2^{11537963630592} is an apocalyptic number.

11537963630592 is a gapful number since it is divisible by the number (12) 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 11537963630592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405277982720).

11537963630592 is an abundant number, since it is smaller than the sum of its proper divisors (27272592334848).

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

11537963630592 is a wasteful number, since it uses less digits than its factorization.

11537963630592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 60.

The spelling of 11537963630592 in words is "eleven trillion, five hundred thirty-seven billion, nine hundred sixty-three million, six hundred thirty thousand, five hundred ninety-two".