11231052510400 has 168 divisors, whose sum is σ = 27761800854240. Its totient is φ = 4471907328000.

The previous prime is 11231052510389. The next prime is 11231052510439. The reversal of 11231052510400 is 401525013211.

11231052510400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11231052510400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 463525486 + ... + 463549714.

Almost surely, 2^{11231052510400} is an apocalyptic number.

11231052510400 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 11231052510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880900427120).

11231052510400 is an abundant number, since it is smaller than the sum of its proper divisors (16530748343840).

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

11231052510400 is a wasteful number, since it uses less digits than its factorization.

11231052510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25563 (or 25548 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 11231052510400 its reverse (401525013211), we get a palindrome (11632577523611).

The spelling of 11231052510400 in words is "eleven trillion, two hundred thirty-one billion, fifty-two million, five hundred ten thousand, four hundred".