11387768064 has 72 divisors (see below), whose sum is σ = 30477756960. Its totient is φ = 3774670848.

The previous prime is 11387768059. The next prime is 11387768099. The reversal of 11387768064 is 46086778311.

It is a super-2 number, since 2×11387768064² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11387767998 and 11387768016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96054 + ... + 178890.

It is an arithmetic number, because the mean of its divisors is an integer number (423302180).

Almost surely, 2^11387768064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11387768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238878480).

11387768064 is an abundant number, since it is smaller than the sum of its proper divisors (19089988896).

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

11387768064 is an equidigital number, since it uses as much as digits as its factorization.

11387768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83035 (or 83021 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 11387768064 in words is "eleven billion, three hundred eighty-seven million, seven hundred sixty-eight thousand, sixty-four".