11137786490880 has 936 divisors, whose sum is σ = 46862800294752. Its totient is φ = 2435048275968.

The previous prime is 11137786490837. The next prime is 11137786490933. The reversal of 11137786490880 is 8809468773111.

11137786490880 is a `hidden beast` number, since 1 + 1 + 137 + 7 + 8 + 6 + 490 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207701832 + ... + 207755448.

It is an arithmetic number, because the mean of its divisors is an integer number (50067094332).

Almost surely, 2^{11137786490880} is an apocalyptic number.

11137786490880 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 11137786490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23431400147376).

11137786490880 is an abundant number, since it is smaller than the sum of its proper divisors (35725013803872).

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

11137786490880 is a wasteful number, since it uses less digits than its factorization.

11137786490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53689 (or 53657 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 11137786490880 in words is "eleven trillion, one hundred thirty-seven billion, seven hundred eighty-six million, four hundred ninety thousand, eight hundred eighty".