11612367023040 has 560 divisors, whose sum is σ = 49985235698112. Its totient is φ = 2498121990144.

The previous prime is 11612367023017. The next prime is 11612367023093. The reversal of 11612367023040 is 4032076321611.

11612367023040 is a `hidden beast` number, since 1 + 1 + 61 + 2 + 367 + 0 + 230 + 4 + 0 = 666.

11612367023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 11612367022986 and 11612367023004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1202094 + ... + 4966866.

Almost surely, 2^{11612367023040} is an apocalyptic number.

11612367023040 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 11612367023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24992617849056).

11612367023040 is an abundant number, since it is smaller than the sum of its proper divisors (38372868675072).

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

11612367023040 is a wasteful number, since it uses less digits than its factorization.

11612367023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764826 (or 3764807 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11612367023040 in words is "eleven trillion, six hundred twelve billion, three hundred sixty-seven million, twenty-three thousand, forty".