10794072900 has 576 divisors, whose sum is σ = 37828689920. Its totient is φ = 2351462400.

The previous prime is 10794072853. The next prime is 10794072901. The reversal of 10794072900 is 927049701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10794072901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84992637 + ... + 84992763.

Almost surely, 2^10794072900 is an apocalyptic number.

10794072900 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 10794072900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914344960).

10794072900 is an abundant number, since it is smaller than the sum of its proper divisors (27034617020).

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

10794072900 is a wasteful number, since it uses less digits than its factorization.

10794072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 10794072900 in words is "ten billion, seven hundred ninety-four million, seventy-two thousand, nine hundred".