11381651200 has 216 divisors, whose sum is σ = 29636103168. Its totient is φ = 4319293440.

The previous prime is 11381651167. The next prime is 11381651219. The reversal of 11381651200 is 215618311.

It is a super-2 number, since 2×11381651200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24582169 + ... + 24582631.

Almost surely, 2^11381651200 is an apocalyptic number.

11381651200 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 11381651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818051584).

11381651200 is an abundant number, since it is smaller than the sum of its proper divisors (18254451968).

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

11381651200 is a wasteful number, since it uses less digits than its factorization.

11381651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 11381651200 in words is "eleven billion, three hundred eighty-one million, six hundred fifty-one thousand, two hundred".