12923435528640 has 896 divisors, whose sum is σ = 59412778629120. Its totient is φ = 2566305939456.

The previous prime is 12923435528621. The next prime is 12923435528651. The reversal of 12923435528640 is 4682553432921.

12923435528640 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 3 + 4 + 3 + 552 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12882639 + ... + 13849521.

It is an arithmetic number, because the mean of its divisors is an integer number (66308904720).

Almost surely, 2^{12923435528640} is an apocalyptic number.

12923435528640 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 12923435528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29706389314560).

12923435528640 is an abundant number, since it is smaller than the sum of its proper divisors (46489343100480).

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

12923435528640 is a wasteful number, since it uses less digits than its factorization.

12923435528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966946 (or 966930 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 12923435528640 in words is "twelve trillion, nine hundred twenty-three billion, four hundred thirty-five million, five hundred twenty-eight thousand, six hundred forty".