11125334510400 has 672 divisors, whose sum is σ = 43266493624320. Its totient is φ = 2472671232000.

The previous prime is 11125334510387. The next prime is 11125334510443. The reversal of 11125334510400 is 401543352111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30920332 + ... + 31278068.

Almost surely, 2^{11125334510400} is an apocalyptic number.

11125334510400 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 11125334510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633246812160).

11125334510400 is an abundant number, since it is smaller than the sum of its proper divisors (32141159113920).

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

11125334510400 is a wasteful number, since it uses less digits than its factorization.

11125334510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357823 (or 357808 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11125334510400 its reverse (401543352111), we get a palindrome (11526877862511).

The spelling of 11125334510400 in words is "eleven trillion, one hundred twenty-five billion, three hundred thirty-four million, five hundred ten thousand, four hundred".