19712216946240 has 1260 divisors, whose sum is σ = 88326028735956. Its totient is φ = 4159015870464.

The previous prime is 19712216946223. The next prime is 19712216946269. The reversal of 19712216946240 is 4264961221791.

19712216946240 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 2 + 2 + 1 + 6 + 9 + 4 + 624 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6319954658304 + 13392262287936 = 2513952^2 + 3659544^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 214597602 + ... + 214689438.

Almost surely, 2^{19712216946240} is an apocalyptic number.

19712216946240 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 19712216946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44163014367978).

19712216946240 is an abundant number, since it is smaller than the sum of its proper divisors (68613811789716).

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

19712216946240 is a wasteful number, since it uses less digits than its factorization.

19712216946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91906 (or 91867 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 19712216946240 in words is "nineteen trillion, seven hundred twelve billion, two hundred sixteen million, nine hundred forty-six thousand, two hundred forty".