10762909152 has 96 divisors (see below), whose sum is σ = 28617950592. Its totient is φ = 3541492224.

The previous prime is 10762909141. The next prime is 10762909153. The reversal of 10762909152 is 25190926701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10762909152³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10762909153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151798 + ... + 3155210.

It is an arithmetic number, because the mean of its divisors is an integer number (298103652).

Almost surely, 2^10762909152 is an apocalyptic number.

10762909152 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 10762909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308975296).

10762909152 is an abundant number, since it is smaller than the sum of its proper divisors (17855041440).

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

10762909152 is a wasteful number, since it uses less digits than its factorization.

10762909152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 10762909152 in words is "ten billion, seven hundred sixty-two million, nine hundred nine thousand, one hundred fifty-two".