12626971584000 has 640 divisors, whose sum is σ = 43735589314560. Its totient is φ = 3228512256000.

The previous prime is 12626971583999. The next prime is 12626971584037. The reversal of 12626971584000 is 48517962621.

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

It is a super-2 number, since 2×12626971584000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648758269 + ... + 648777731.

It is an arithmetic number, because the mean of its divisors is an integer number (68336858304).

Almost surely, 2^{12626971584000} is an apocalyptic number.

12626971584000 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 12626971584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21867794657280).

12626971584000 is an abundant number, since it is smaller than the sum of its proper divisors (31108617730560).

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

12626971584000 is a wasteful number, since it uses less digits than its factorization.

12626971584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19639 (or 19613 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 12626971584000 in words is "twelve trillion, six hundred twenty-six billion, nine hundred seventy-one million, five hundred eighty-four thousand".