11490115771056 has 320 divisors, whose sum is σ = 33124692328448. Its totient is φ = 3409056129024.

The previous prime is 11490115771039. The next prime is 11490115771097. The reversal of 11490115771056 is 65017751109411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11490115770996 and 11490115771014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3890996076 + ... + 3890999028.

Almost surely, 2^{11490115771056} is an apocalyptic number.

11490115771056 is a gapful number since it is divisible by the number (16) 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 11490115771056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562346164224).

11490115771056 is an abundant number, since it is smaller than the sum of its proper divisors (21634576557392).

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

11490115771056 is a wasteful number, since it uses less digits than its factorization.

11490115771056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 48.

The spelling of 11490115771056 in words is "eleven trillion, four hundred ninety billion, one hundred fifteen million, seven hundred seventy-one thousand, fifty-six".