11215202470560 has 960 divisors, whose sum is σ = 47427481221120. Its totient is φ = 2463737886720.

The previous prime is 11215202470559. The next prime is 11215202470597. The reversal of 11215202470560 is 6507420251211.

11215202470560 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 5 + 2 + 0 + 24 + 70 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62208709 + ... + 62388731.

It is an arithmetic number, because the mean of its divisors is an integer number (49403626272).

Almost surely, 2^{11215202470560} is an apocalyptic number.

11215202470560 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 11215202470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23713740610560).

11215202470560 is an abundant number, since it is smaller than the sum of its proper divisors (36212278750560).

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

11215202470560 is a wasteful number, since it uses less digits than its factorization.

11215202470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180103 (or 180086 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 11215202470560 in words is "eleven trillion, two hundred fifteen billion, two hundred two million, four hundred seventy thousand, five hundred sixty".