12758929920 has 640 divisors, whose sum is σ = 50239284480. Its totient is φ = 3043491840.

The previous prime is 12758929919. The next prime is 12758929921. The reversal of 12758929920 is 2992985721.

12758929920 is a `hidden beast` number, since 1 + 275 + 89 + 299 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12758929919) and next prime (12758929921).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (12758929921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73750954 + ... + 73751126.

It is an arithmetic number, because the mean of its divisors is an integer number (78498882).

Almost surely, 2^12758929920 is an apocalyptic number.

12758929920 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 12758929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119642240).

12758929920 is an abundant number, since it is smaller than the sum of its proper divisors (37480354560).

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

12758929920 is a wasteful number, since it uses less digits than its factorization.

12758929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12758929920 in words is "twelve billion, seven hundred fifty-eight million, nine hundred twenty-nine thousand, nine hundred twenty".