20719245312 has 576 divisors, whose sum is σ = 68685926400. Its totient is φ = 6210846720.

The previous prime is 20719245293. The next prime is 20719245359. The reversal of 20719245312 is 21354291702.

20719245312 is a `hidden beast` number, since 2 + 0 + 7 + 192 + 453 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 262268889 + ... + 262268967.

It is an arithmetic number, because the mean of its divisors is an integer number (119246400).

Almost surely, 2^20719245312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20719245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34342963200).

20719245312 is an abundant number, since it is smaller than the sum of its proper divisors (47966681088).

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

20719245312 is an equidigital number, since it uses as much as digits as its factorization.

20719245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20719245312 in words is "twenty billion, seven hundred nineteen million, two hundred forty-five thousand, three hundred twelve".