11241952560 has 240 divisors, whose sum is σ = 39108925440. Its totient is φ = 2892126720.

The previous prime is 11241952549. The next prime is 11241952619. The reversal of 11241952560 is 6525914211.

11241952560 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 95 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11241952560² (a number of 21 digits) contains 22 as substring.

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, 2400301 + ... + 2404979.

It is an arithmetic number, because the mean of its divisors is an integer number (162953856).

Almost surely, 2^11241952560 is an apocalyptic number.

11241952560 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 11241952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554462720).

11241952560 is an abundant number, since it is smaller than the sum of its proper divisors (27866972880).

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

11241952560 is a wasteful number, since it uses less digits than its factorization.

11241952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11241952560 in words is "eleven billion, two hundred forty-one million, nine hundred fifty-two thousand, five hundred sixty".