10842955200 has 1134 divisors, whose sum is σ = 49664404608. Its totient is φ = 2235340800.

The previous prime is 10842955187. The next prime is 10842955217. The reversal of 10842955200 is 255924801.

10842955200 is a `hidden beast` number, since 1 + 0 + 8 + 42 + 95 + 520 + 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 an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 85377537 + ... + 85377663.

Almost surely, 2^10842955200 is an apocalyptic number.

10842955200 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 10842955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24832202304).

10842955200 is an abundant number, since it is smaller than the sum of its proper divisors (38821449408).

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

10842955200 is a wasteful number, since it uses less digits than its factorization.

10842955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10842955200 in words is "ten billion, eight hundred forty-two million, nine hundred fifty-five thousand, two hundred".