11012015400 has 192 divisors, whose sum is σ = 35312025600. Its totient is φ = 2837103360.

The previous prime is 11012015363. The next prime is 11012015429. The reversal of 11012015400 is 451021011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11012015400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2225329 + ... + 2230271.

It is an arithmetic number, because the mean of its divisors is an integer number (183916800).

Almost surely, 2^11012015400 is an apocalyptic number.

11012015400 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 11012015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656012800).

11012015400 is an abundant number, since it is smaller than the sum of its proper divisors (24300010200).

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

11012015400 is a wasteful number, since it uses less digits than its factorization.

11012015400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11012015400 its reverse (451021011), we get a palindrome (11463036411).

The spelling of 11012015400 in words is "eleven billion, twelve million, fifteen thousand, four hundred".