19972971140592 has 320 divisors, whose sum is σ = 55001094815744. Its totient is φ = 6235320591360.

The previous prime is 19972971140567. The next prime is 19972971140609. The reversal of 19972971140592 is 29504117927991.

It is a super-2 number, since 2×19972971140592² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10051821423 + ... + 10051823409.

Almost surely, 2^{19972971140592} is an apocalyptic number.

19972971140592 is a gapful number since it is divisible by the number (12) 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 19972971140592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27500547407872).

19972971140592 is an abundant number, since it is smaller than the sum of its proper divisors (35028123675152).

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

19972971140592 is a wasteful number, since it uses less digits than its factorization.

19972971140592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 66.

The spelling of 19972971140592 in words is "nineteen trillion, nine hundred seventy-two billion, nine hundred seventy-one million, one hundred forty thousand, five hundred ninety-two".