10842129600 has 252 divisors, whose sum is σ = 37547924904. Its totient is φ = 2738626560.

The previous prime is 10842129589. The next prime is 10842129653. The reversal of 10842129600 is 692124801.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1729672 + ... + 1735928.

It is an arithmetic number, because the mean of its divisors is an integer number (148999702).

Almost surely, 2^10842129600 is an apocalyptic number.

10842129600 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 10842129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773962452).

10842129600 is an abundant number, since it is smaller than the sum of its proper divisors (26705795304).

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

10842129600 is a wasteful number, since it uses less digits than its factorization.

10842129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10842129600 in words is "ten billion, eight hundred forty-two million, one hundred twenty-nine thousand, six hundred".