10811738300 has 72 divisors (see below), whose sum is σ = 25821128592. Its totient is φ = 3896704000.

The previous prime is 10811738293. The next prime is 10811738381. The reversal of 10811738300 is 383711801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80810 + ... + 167790.

It is an arithmetic number, because the mean of its divisors is an integer number (358626786).

Almost surely, 2^10811738300 is an apocalyptic number.

10811738300 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 10811738300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12910564296).

10811738300 is an abundant number, since it is smaller than the sum of its proper divisors (15009390292).

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

10811738300 is a wasteful number, since it uses less digits than its factorization.

10811738300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87119 (or 87112 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 10811738300 in words is "ten billion, eight hundred eleven million, seven hundred thirty-eight thousand, three hundred".