11241722511360 has 768 divisors, whose sum is σ = 43981324920000. Its totient is φ = 2631181271040.

The previous prime is 11241722511301. The next prime is 11241722511391. The reversal of 11241722511360 is 6311522714211.

11241722511360 is a `hidden beast` number, since 1 + 1 + 2 + 41 + 7 + 2 + 251 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470372691 + ... + 470396589.

Almost surely, 2^{11241722511360} is an apocalyptic number.

11241722511360 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 11241722511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21990662460000).

11241722511360 is an abundant number, since it is smaller than the sum of its proper divisors (32739602408640).

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

11241722511360 is a wasteful number, since it uses less digits than its factorization.

11241722511360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23980 (or 23949 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11241722511360 in words is "eleven trillion, two hundred forty-one billion, seven hundred twenty-two million, five hundred eleven thousand, three hundred sixty".