12572703982080 has 1920 divisors, whose sum is σ = 50618127732480. Its totient is φ = 2991597649920.

The previous prime is 12572703982073. The next prime is 12572703982121. The reversal of 12572703982080 is 8028930727521.

12572703982080 is a `hidden beast` number, since 1 + 25 + 7 + 27 + 0 + 398 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×12572703982080² (a number of 27 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 45388822902 + ... + 45388823178.

It is an arithmetic number, because the mean of its divisors is an integer number (26363608194).

Almost surely, 2^{12572703982080} is an apocalyptic number.

12572703982080 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 12572703982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309063866240).

12572703982080 is an abundant number, since it is smaller than the sum of its proper divisors (38045423750400).

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

12572703982080 is an frugal number, since it uses more digits than its factorization.

12572703982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12572703982080 in words is "twelve trillion, five hundred seventy-two billion, seven hundred three million, nine hundred eighty-two thousand, eighty".