11380293936 has 300 divisors, whose sum is σ = 37388287552. Its totient is φ = 3335904000.

The previous prime is 11380293913. The next prime is 11380293949. The reversal of 11380293936 is 63939208311.

It is a super-2 number, since 2×11380293936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11380293891 and 11380293900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4860126 + ... + 4862466.

Almost surely, 2^11380293936 is an apocalyptic number.

11380293936 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 11380293936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694143776).

11380293936 is an abundant number, since it is smaller than the sum of its proper divisors (26007993616).

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

11380293936 is a wasteful number, since it uses less digits than its factorization.

11380293936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 11380293936 in words is "eleven billion, three hundred eighty million, two hundred ninety-three thousand, nine hundred thirty-six".