10082836800 has 336 divisors, whose sum is σ = 37946380800. Its totient is φ = 2601676800.

The previous prime is 10082836793. The next prime is 10082836847. The reversal of 10082836800 is 863828001.

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 47 ways as a sum of consecutive naturals, for example, 1335436 + ... + 1342964.

Almost surely, 2^10082836800 is an apocalyptic number.

10082836800 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 10082836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973190400).

10082836800 is an abundant number, since it is smaller than the sum of its proper divisors (27863544000).

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

10082836800 is a wasteful number, since it uses less digits than its factorization.

10082836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10082836800 in words is "ten billion, eighty-two million, eight hundred thirty-six thousand, eight hundred".