11051530400 has 72 divisors (see below), whose sum is σ = 27145387584. Its totient is φ = 4393440000.

The previous prime is 11051530397. The next prime is 11051530423. The reversal of 11051530400 is 403515011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88025 + ... + 172775.

It is an arithmetic number, because the mean of its divisors is an integer number (377019272).

Almost surely, 2^11051530400 is an apocalyptic number.

11051530400 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 11051530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572693792).

11051530400 is an abundant number, since it is smaller than the sum of its proper divisors (16093857184).

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

11051530400 is a wasteful number, since it uses less digits than its factorization.

11051530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84934 (or 84921 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 11051530400 in words is "eleven billion, fifty-one million, five hundred thirty thousand, four hundred".