10837810000 has 100 divisors (see below), whose sum is σ = 26512303972. Its totient is φ = 4290048000.

The previous prime is 10837809979. The next prime is 10837810001. The reversal of 10837810000 is 1873801.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8700412176 + 2137397824 = 93276^2 + 46232^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10837810000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10837810001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 964414 + ... + 975586.

Almost surely, 2^10837810000 is an apocalyptic number.

10837810000 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 10837810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256151986).

10837810000 is an abundant number, since it is smaller than the sum of its proper divisors (15674493972).

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

10837810000 is an equidigital number, since it uses as much as digits as its factorization.

10837810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 10837810000 in words is "ten billion, eight hundred thirty-seven million, eight hundred ten thousand".