12352092480 has 504 divisors, whose sum is σ = 53232189192. Its totient is φ = 2605768704.

The previous prime is 12352092461. The next prime is 12352092521. The reversal of 12352092480 is 8429025321.

It is a happy number.

12352092480 is a `hidden beast` number, since 1 + 2 + 3 + 520 + 92 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2660083776 + 9692008704 = 51576^2 + 98448^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1831194 + ... + 1837926.

It is an arithmetic number, because the mean of its divisors is an integer number (105619423).

Almost surely, 2^12352092480 is an apocalyptic number.

12352092480 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 12352092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26616094596).

12352092480 is an abundant number, since it is smaller than the sum of its proper divisors (40880096712).

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

12352092480 is a wasteful number, since it uses less digits than its factorization.

12352092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 123520 and 92480, that added together give a cube (216000 = 60³).

The spelling of 12352092480 in words is "twelve billion, three hundred fifty-two million, ninety-two thousand, four hundred eighty".