11213246305560 has 512 divisors, whose sum is σ = 37800109670400. Its totient is φ = 2642439075840.

The previous prime is 11213246305537. The next prime is 11213246305567. The reversal of 11213246305560 is 6550364231211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213246305567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1757834451 + ... + 1757840829.

It is an arithmetic number, because the mean of its divisors is an integer number (73828339200).

Almost surely, 2^{11213246305560} is an apocalyptic number.

11213246305560 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 11213246305560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900054835200).

11213246305560 is an abundant number, since it is smaller than the sum of its proper divisors (26586863364840).

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

11213246305560 is a wasteful number, since it uses less digits than its factorization.

11213246305560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 11213246305560 in words is "eleven trillion, two hundred thirteen billion, two hundred forty-six million, three hundred five thousand, five hundred sixty".