11292405060400 has 120 divisors (see below), whose sum is σ = 28728313730064. Its totient is φ = 4250899046400.

The previous prime is 11292405060331. The next prime is 11292405060509. The reversal of 11292405060400 is 406050429211.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 88628740 + ... + 88756060.

Almost surely, 2^{11292405060400} is an apocalyptic number.

11292405060400 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 11292405060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364156865032).

11292405060400 is an abundant number, since it is smaller than the sum of its proper divisors (17435908669664).

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

11292405060400 is a wasteful number, since it uses less digits than its factorization.

11292405060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140399 (or 140388 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 11292405060400 its reverse (406050429211), we get a palindrome (11698455489611).

The spelling of 11292405060400 in words is "eleven trillion, two hundred ninety-two billion, four hundred five million, sixty thousand, four hundred".