19896957970560 has 1024 divisors, whose sum is σ = 81017832960000. Its totient is φ = 4564149534720.

The previous prime is 19896957970553. The next prime is 19896957970573. The reversal of 19896957970560 is 6507975969891.

It is a super-2 number, since 2×19896957970560² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19896957970560.

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 127 ways as a sum of consecutive naturals, for example, 3528452221 + ... + 3528457859.

It is an arithmetic number, because the mean of its divisors is an integer number (79118977500).

Almost surely, 2^{19896957970560} is an apocalyptic number.

19896957970560 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 19896957970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40508916480000).

19896957970560 is an abundant number, since it is smaller than the sum of its proper divisors (61120874989440).

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

19896957970560 is a wasteful number, since it uses less digits than its factorization.

19896957970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 2314720800, while the sum is 81.

The spelling of 19896957970560 in words is "nineteen trillion, eight hundred ninety-six billion, nine hundred fifty-seven million, nine hundred seventy thousand, five hundred sixty".