19896466275840 has 960 divisors, whose sum is σ = 80838862410240. Its totient is φ = 4128128040960.

The previous prime is 19896466275827. The next prime is 19896466275877. The reversal of 19896466275840 is 4857266469891.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3075660126 + ... + 3075666594.

It is an arithmetic number, because the mean of its divisors is an integer number (84207148344).

Almost surely, 2^{19896466275840} is an apocalyptic number.

19896466275840 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 19896466275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40419431205120).

19896466275840 is an abundant number, since it is smaller than the sum of its proper divisors (60942396134400).

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

19896466275840 is a wasteful number, since it uses less digits than its factorization.

19896466275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 75.

The spelling of 19896466275840 in words is "nineteen trillion, eight hundred ninety-six billion, four hundred sixty-six million, two hundred seventy-five thousand, eight hundred forty".