11405151200 has 72 divisors (see below), whose sum is σ = 27880356168. Its totient is φ = 4555911680.

The previous prime is 11405151181. The next prime is 11405151203. The reversal of 11405151200 is 215150411.

It is a super-2 number, since 2×11405151200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405151203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609179 + ... + 627621.

It is an arithmetic number, because the mean of its divisors is an integer number (387227169).

Almost surely, 2^11405151200 is an apocalyptic number.

11405151200 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 11405151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940178084).

11405151200 is an abundant number, since it is smaller than the sum of its proper divisors (16475204968).

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

11405151200 is a wasteful number, since it uses less digits than its factorization.

11405151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19236 (or 19223 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 11405151200 in words is "eleven billion, four hundred five million, one hundred fifty-one thousand, two hundred".