11361215034000 has 1600 divisors, whose sum is σ = 46695448800000. Its totient is φ = 2639460556800.

The previous prime is 11361215033939. The next prime is 11361215034017. The reversal of 11361215034000 is 43051216311.

It is a happy number.

11361215034000 is a `hidden beast` number, since 1 + 1 + 3 + 612 + 1 + 5 + 0 + 3 + 40 + 0 + 0 = 666.

11361215034000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19966985716 + ... + 19966986284.

It is an arithmetic number, because the mean of its divisors is an integer number (29184655500).

Almost surely, 2^{11361215034000} is an apocalyptic number.

11361215034000 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 11361215034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23347724400000).

11361215034000 is an abundant number, since it is smaller than the sum of its proper divisors (35334233766000).

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

11361215034000 is a wasteful number, since it uses less digits than its factorization.

11361215034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11361215034000 in words is "eleven trillion, three hundred sixty-one billion, two hundred fifteen million, thirty-four thousand".