10762120000 has 140 divisors (see below), whose sum is σ = 26934031476. Its totient is φ = 4264960000.

The previous prime is 10762119997. The next prime is 10762120001. The reversal of 10762120000 is 2126701.

It can be written as a sum of positive squares in 10 ways, for example, as 10325811456 + 436308544 = 101616^2 + 20888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10762120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10762120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4518810 + ... + 4521190.

Almost surely, 2^10762120000 is an apocalyptic number.

10762120000 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 10762120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467015738).

10762120000 is an abundant number, since it is smaller than the sum of its proper divisors (16171911476).

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

10762120000 is an equidigital number, since it uses as much as digits as its factorization.

10762120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10762120000 its reverse (2126701), we get a palindrome (10764246701).

The spelling of 10762120000 in words is "ten billion, seven hundred sixty-two million, one hundred twenty thousand".