19901159972352 has 480 divisors, whose sum is σ = 60952360236768. Its totient is φ = 6480121430016.

The previous prime is 19901159972251. The next prime is 19901159972381. The reversal of 19901159972352 is 25327995110991.

19901159972352 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 1 + 1 + 599 + 7 + 2 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19901159972352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536406708 + ... + 1536419660.

Almost surely, 2^{19901159972352} is an apocalyptic number.

19901159972352 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 19901159972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30476180118384).

19901159972352 is an abundant number, since it is smaller than the sum of its proper divisors (41051200264416).

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

19901159972352 is an equidigital number, since it uses as much as digits as its factorization.

19901159972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13244 counting only the distinct ones).

The product of its (nonzero) digits is 13778100, while the sum is 63.

The spelling of 19901159972352 in words is "nineteen trillion, nine hundred one billion, one hundred fifty-nine million, nine hundred seventy-two thousand, three hundred fifty-two".