19294957807216 has 160 divisors (see below), whose sum is σ = 46133837245440. Its totient is φ = 7612821614592.

The previous prime is 19294957807189. The next prime is 19294957807219. The reversal of 19294957807216 is 61270875949291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19294957807219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185695656 + ... + 1185711928.

It is an arithmetic number, because the mean of its divisors is an integer number (288336482784).

Almost surely, 2^{19294957807216} is an apocalyptic number.

19294957807216 is a gapful number since it is divisible by the number (16) 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 19294957807216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23066918622720).

19294957807216 is an abundant number, since it is smaller than the sum of its proper divisors (26838879438224).

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

19294957807216 is a wasteful number, since it uses less digits than its factorization.

19294957807216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18423 (or 18417 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 70.

The spelling of 19294957807216 in words is "nineteen trillion, two hundred ninety-four billion, nine hundred fifty-seven million, eight hundred seven thousand, two hundred sixteen".