11076474240000 has 1320 divisors, whose sum is σ = 43868161969632. Its totient is φ = 2674114560000.

The previous prime is 11076474239989. The next prime is 11076474240031. The reversal of 11076474240000 is 4247467011.

It is a happy number.

11076474240000 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 647 + 4 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3968638605 + ... + 3968641395.

Almost surely, 2^{11076474240000} is an apocalyptic number.

11076474240000 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 11076474240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080984816).

11076474240000 is an abundant number, since it is smaller than the sum of its proper divisors (32791687729632).

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

11076474240000 is a wasteful number, since it uses less digits than its factorization.

11076474240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 11076474240000 in words is "eleven trillion, seventy-six billion, four hundred seventy-four million, two hundred forty thousand".