11612778840000 has 1400 divisors, whose sum is σ = 47120307862320. Its totient is φ = 2809479168000.

The previous prime is 11612778839953. The next prime is 11612778840031. The reversal of 11612778840000 is 4887721611.

11612778840000 is a `hidden beast` number, since 1 + 161 + 2 + 7 + 7 + 88 + 400 + 0 + 0 = 666.

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 199 ways as a sum of consecutive naturals, for example, 2485077664 + ... + 2485082336.

Almost surely, 2^{11612778840000} is an apocalyptic number.

11612778840000 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 11612778840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560153931160).

11612778840000 is an abundant number, since it is smaller than the sum of its proper divisors (35507529022320).

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

11612778840000 is an equidigital number, since it uses as much as digits as its factorization.

11612778840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 11612778840000 in words is "eleven trillion, six hundred twelve billion, seven hundred seventy-eight million, eight hundred forty thousand".