12758475072 has 448 divisors, whose sum is σ = 42697359360. Its totient is φ = 3280435200.

The previous prime is 12758475031. The next prime is 12758475127. The reversal of 12758475072 is 27057485721.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56204623 + ... + 56204849.

Almost surely, 2^12758475072 is an apocalyptic number.

12758475072 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 12758475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21348679680).

12758475072 is an abundant number, since it is smaller than the sum of its proper divisors (29938884288).

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

12758475072 is a wasteful number, since it uses less digits than its factorization.

12758475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The spelling of 12758475072 in words is "twelve billion, seven hundred fifty-eight million, four hundred seventy-five thousand, seventy-two".