19977040931328 has 640 divisors, whose sum is σ = 70977219667200. Its totient is φ = 5480705949696.

The previous prime is 19977040931297. The next prime is 19977040931333. The reversal of 19977040931328 is 82313904077991.

19977040931328 is a `hidden beast` number, since 1 + 9 + 97 + 7 + 0 + 409 + 3 + 132 + 8 = 666.

It is a super-2 number, since 2×19977040931328² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57874900 + ... + 58219052.

It is an arithmetic number, because the mean of its divisors is an integer number (110901905730).

Almost surely, 2^{19977040931328} is an apocalyptic number.

19977040931328 is a gapful number since it is divisible by the number (18) 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 19977040931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35488609833600).

19977040931328 is an abundant number, since it is smaller than the sum of its proper divisors (51000178735872).

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

19977040931328 is a wasteful number, since it uses less digits than its factorization.

19977040931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344229 (or 344207 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 19977040931328 in words is "nineteen trillion, nine hundred seventy-seven billion, forty million, nine hundred thirty-one thousand, three hundred twenty-eight".