10845542400 has 864 divisors, whose sum is σ = 45846440640. Its totient is φ = 2236416000.

The previous prime is 10845542381. The next prime is 10845542423. The reversal of 10845542400 is 424554801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82790335 + ... + 82790465.

It is an arithmetic number, because the mean of its divisors is an integer number (53063010).

Almost surely, 2^10845542400 is an apocalyptic number.

10845542400 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 10845542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923220320).

10845542400 is an abundant number, since it is smaller than the sum of its proper divisors (35000898240).

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

10845542400 is a wasteful number, since it uses less digits than its factorization.

10845542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 10845542400 in words is "ten billion, eight hundred forty-five million, five hundred forty-two thousand, four hundred".