10842854400 has 924 divisors, whose sum is σ = 46608912672. Its totient is φ = 2448506880.

The previous prime is 10842854381. The next prime is 10842854401. The reversal of 10842854400 is 445824801.

10842854400 is a `hidden beast` number, since 10 + 84 + 28 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842854401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636759 + ... + 130636841.

Almost surely, 2^10842854400 is an apocalyptic number.

10842854400 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 10842854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304456336).

10842854400 is an abundant number, since it is smaller than the sum of its proper divisors (35766058272).

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

10842854400 is an frugal number, since it uses more digits than its factorization.

10842854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 10842854400 in words is "ten billion, eight hundred forty-two million, eight hundred fifty-four thousand, four hundred".