11456510400 has 420 divisors, whose sum is σ = 42549993640. Its totient is φ = 3023308800.

The previous prime is 11456510383. The next prime is 11456510413. The reversal of 11456510400 is 401565411.

11456510400 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 651 + 0 + 4 + 0 + 0 = 666.

11456510400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14125995 + ... + 14126805.

Almost surely, 2^11456510400 is an apocalyptic number.

11456510400 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 11456510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21274996820).

11456510400 is an abundant number, since it is smaller than the sum of its proper divisors (31093483240).

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

11456510400 is a wasteful number, since it uses less digits than its factorization.

11456510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11456510400 in words is "eleven billion, four hundred fifty-six million, five hundred ten thousand, four hundred".