10842455476200 has 384 divisors, whose sum is σ = 36215482060800. Its totient is φ = 2673382993920.

The previous prime is 10842455476159. The next prime is 10842455476253. The reversal of 10842455476200 is 267455424801.

It is a self number, because there is not a number n which added to its sum of digits gives 10842455476200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097076459 + ... + 1097086341.

It is an arithmetic number, because the mean of its divisors is an integer number (94311151200).

Almost surely, 2^{10842455476200} is an apocalyptic number.

10842455476200 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 10842455476200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107741030400).

10842455476200 is an abundant number, since it is smaller than the sum of its proper divisors (25373026584600).

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

10842455476200 is a wasteful number, since it uses less digits than its factorization.

10842455476200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11801 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 10842455476200 in words is "ten trillion, eight hundred forty-two billion, four hundred fifty-five million, four hundred seventy-six thousand, two hundred".