11213785512000 has 672 divisors, whose sum is σ = 40576666201344. Its totient is φ = 2955930624000.

The previous prime is 11213785511963. The next prime is 11213785512031. The reversal of 11213785512000 is 21558731211.

11213785512000 is a `hidden beast` number, since 1 + 1 + 2 + 13 + 78 + 551 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×11213785512000² (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 5643575007 + ... + 5643576993.

It is an arithmetic number, because the mean of its divisors is an integer number (60381943752).

Almost surely, 2^{11213785512000} is an apocalyptic number.

11213785512000 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 11213785512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288333100672).

11213785512000 is an abundant number, since it is smaller than the sum of its proper divisors (29362880689344).

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

11213785512000 is a wasteful number, since it uses less digits than its factorization.

11213785512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 11213785512000 in words is "eleven trillion, two hundred thirteen billion, seven hundred eighty-five million, five hundred twelve thousand".