12975047953920 has 360 divisors, whose sum is σ = 48658783680936. Its totient is φ = 3193856999424.

The previous prime is 12975047953919. The next prime is 12975047953921. The reversal of 12975047953920 is 2935974057921.

12975047953920 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 5 + 0 + 4 + 79 + 539 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12975047953919) and next prime (12975047953921).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12975047953921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2227627 + ... + 5559893.

Almost surely, 2^{12975047953920} is an apocalyptic number.

12975047953920 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 12975047953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24329391840468).

12975047953920 is an abundant number, since it is smaller than the sum of its proper divisors (35683735727016).

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

12975047953920 is a wasteful number, since it uses less digits than its factorization.

12975047953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332322 (or 3332290 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 12975047953920 in words is "twelve trillion, nine hundred seventy-five billion, forty-seven million, nine hundred fifty-three thousand, nine hundred twenty".