10762416252 has 108 divisors (see below), whose sum is σ = 31673938296. Its totient is φ = 3072323520.

The previous prime is 10762416251. The next prime is 10762416257. The reversal of 10762416252 is 25261426701.

It is a happy number.

10762416252 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 24 + 1 + 625 + 2 = 666.

10762416252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10762416251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3037602 + ... + 3041142.

Almost surely, 2^10762416252 is an apocalyptic number.

10762416252 is a gapful number since it is divisible by the number (12) 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 10762416252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836969148).

10762416252 is an abundant number, since it is smaller than the sum of its proper divisors (20911522044).

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

10762416252 is a wasteful number, since it uses less digits than its factorization.

10762416252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10762416252 in words is "ten billion, seven hundred sixty-two million, four hundred sixteen thousand, two hundred fifty-two".