10790512000 has 128 divisors (see below), whose sum is σ = 28406738880. Its totient is φ = 4062208000.

The previous prime is 10790511997. The next prime is 10790512003. The reversal of 10790512000 is 21509701.

It is an interprime number because it is at equal distance from previous prime (10790511997) and next prime (10790512003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10790512003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252165 + ... + 291835.

Almost surely, 2^10790512000 is an apocalyptic number.

10790512000 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 10790512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203369440).

10790512000 is an abundant number, since it is smaller than the sum of its proper divisors (17616226880).

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

10790512000 is an equidigital number, since it uses as much as digits as its factorization.

10790512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39717 (or 39695 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The spelling of 10790512000 in words is "ten billion, seven hundred ninety million, five hundred twelve thousand".