11426785920000 has 660 divisors, whose sum is σ = 44978483165616. Its totient is φ = 2770114560000.

The previous prime is 11426785919987. The next prime is 11426785920001. The reversal of 11426785920000 is 2958762411.

11426785920000 is a `hidden beast` number, since 11 + 42 + 6 + 7 + 8 + 592 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

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

It is not an unprimeable number, because it can be changed into a prime (11426785920001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63269827 + ... + 63450173.

Almost surely, 2^{11426785920000} is an apocalyptic number.

11426785920000 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 11426785920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489241582808).

11426785920000 is an abundant number, since it is smaller than the sum of its proper divisors (33551697245616).

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

11426785920000 is a wasteful number, since it uses less digits than its factorization.

11426785920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180404 (or 180368 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11426785920000 in words is "eleven trillion, four hundred twenty-six billion, seven hundred eighty-five million, nine hundred twenty thousand".