10902239712 has 864 divisors, whose sum is σ = 42162591744. Its totient is φ = 2743372800.

The previous prime is 10902239687. The next prime is 10902239759. The reversal of 10902239712 is 21793220901.

10902239712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 153552637 + ... + 153552707.

It is an arithmetic number, because the mean of its divisors is an integer number (48799296).

Almost surely, 2^10902239712 is an apocalyptic number.

10902239712 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 10902239712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081295872).

10902239712 is an abundant number, since it is smaller than the sum of its proper divisors (31260352032).

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

10902239712 is a wasteful number, since it uses less digits than its factorization.

10902239712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10902239712 in words is "ten billion, nine hundred two million, two hundred thirty-nine thousand, seven hundred twelve".