11213519385600 has 1584 divisors, whose sum is σ = 48491605713600. Its totient is φ = 2531574743040.

The previous prime is 11213519385533. The next prime is 11213519385617. The reversal of 11213519385600 is 658391531211.

11213519385600 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 5 + 1 + 9 + 38 + 5 + 600 = 666.

It is a super-2 number, since 2×11213519385600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2811108406 + ... + 2811112394.

Almost surely, 2^{11213519385600} is an apocalyptic number.

11213519385600 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 11213519385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24245802856800).

11213519385600 is an abundant number, since it is smaller than the sum of its proper divisors (37278086328000).

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

11213519385600 is a wasteful number, since it uses less digits than its factorization.

11213519385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11213519385600 in words is "eleven trillion, two hundred thirteen billion, five hundred nineteen million, three hundred eighty-five thousand, six hundred".