11380234320 has 720 divisors, whose sum is σ = 49705568640. Its totient is φ = 2398491648.

The previous prime is 11380234309. The next prime is 11380234379. The reversal of 11380234320 is 2343208311.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×11380234320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12382821 + ... + 12383739.

It is an arithmetic number, because the mean of its divisors is an integer number (69035512).

Almost surely, 2^11380234320 is an apocalyptic number.

11380234320 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 11380234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24852784320).

11380234320 is an abundant number, since it is smaller than the sum of its proper divisors (38325334320).

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

11380234320 is a wasteful number, since it uses less digits than its factorization.

11380234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 11380234320 in words is "eleven billion, three hundred eighty million, two hundred thirty-four thousand, three hundred twenty".