11381497920 has 560 divisors, whose sum is σ = 44094684480. Its totient is φ = 2781444096.

The previous prime is 11381497867. The next prime is 11381497921. The reversal of 11381497920 is 2979418311.

11381497920 is a `hidden beast` number, since 1 + 138 + 1 + 497 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11381497921) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 81881211 + ... + 81881349.

It is an arithmetic number, because the mean of its divisors is an integer number (78740508).

Almost surely, 2^11381497920 is an apocalyptic number.

11381497920 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 11381497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22047342240).

11381497920 is an abundant number, since it is smaller than the sum of its proper divisors (32713186560).

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

11381497920 is an frugal number, since it uses more digits than its factorization.

11381497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11381497920 in words is "eleven billion, three hundred eighty-one million, four hundred ninety-seven thousand, nine hundred twenty".