10833010400 has 72 divisors (see below), whose sum is σ = 26499647664. Its totient is φ = 4324428800.

The previous prime is 10833010393. The next prime is 10833010411. The reversal of 10833010400 is 401033801.

It is a happy number.

It is a super-2 number, since 2×10833010400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388940 + ... + 415860.

It is an arithmetic number, because the mean of its divisors is an integer number (368050662).

Almost surely, 2^10833010400 is an apocalyptic number.

10833010400 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 10833010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249823832).

10833010400 is an abundant number, since it is smaller than the sum of its proper divisors (15666637264).

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

10833010400 is a wasteful number, since it uses less digits than its factorization.

10833010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27444 (or 27431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 10833010400 in words is "ten billion, eight hundred thirty-three million, ten thousand, four hundred".