11257720924772 has 192 divisors, whose sum is σ = 24870343680000. Its totient is φ = 4443288119424.

The previous prime is 11257720924763. The next prime is 11257720924811. The reversal of 11257720924772 is 27742902775211.

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, 328512383 + ... + 328546649.

It is an arithmetic number, because the mean of its divisors is an integer number (129533040000).

Almost surely, 2^{11257720924772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257720924772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435171840000).

11257720924772 is an abundant number, since it is smaller than the sum of its proper divisors (13612622755228).

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

11257720924772 is a wasteful number, since it uses less digits than its factorization.

11257720924772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34703 (or 34687 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 56.

The spelling of 11257720924772 in words is "eleven trillion, two hundred fifty-seven billion, seven hundred twenty million, nine hundred twenty-four thousand, seven hundred seventy-two".