11380551600 has 240 divisors, whose sum is σ = 41863927680. Its totient is φ = 2613657600.

The previous prime is 11380551583. The next prime is 11380551607. The reversal of 11380551600 is 615508311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11380551607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228112 + ... + 273488.

It is an arithmetic number, because the mean of its divisors is an integer number (174433032).

Almost surely, 2^11380551600 is an apocalyptic number.

11380551600 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 11380551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20931963840).

11380551600 is an abundant number, since it is smaller than the sum of its proper divisors (30483376080).

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

11380551600 is a wasteful number, since it uses less digits than its factorization.

11380551600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45428 (or 45417 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 11380551600 in words is "eleven billion, three hundred eighty million, five hundred fifty-one thousand, six hundred".