19977012117504 has 432 divisors, whose sum is σ = 62318835961200. Its totient is φ = 6130130485248.

The previous prime is 19977012117481. The next prime is 19977012117607. The reversal of 19977012117504 is 40571121077991.

19977012117504 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 7 + 0 + 12 + 117 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6425541102 + ... + 6425544210.

It is an arithmetic number, because the mean of its divisors is an integer number (144256564725).

Almost surely, 2^{19977012117504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19977012117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31159417980600).

19977012117504 is an abundant number, since it is smaller than the sum of its proper divisors (42341823843696).

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

19977012117504 is an equidigital number, since it uses as much as digits as its factorization.

19977012117504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 54.

The spelling of 19977012117504 in words is "nineteen trillion, nine hundred seventy-seven billion, twelve million, one hundred seventeen thousand, five hundred four".