19712056320 has 880 divisors, whose sum is σ = 80250588000. Its totient is φ = 4582932480.

The previous prime is 19712056303. The next prime is 19712056333. The reversal of 19712056320 is 2365021791.

19712056320 is a `hidden beast` number, since 1 + 9 + 7 + 12 + 0 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 79 ways as a sum of consecutive naturals, for example, 132295606 + ... + 132295754.

It is an arithmetic number, because the mean of its divisors is an integer number (91193850).

Almost surely, 2^19712056320 is an apocalyptic number.

19712056320 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 19712056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40125294000).

19712056320 is an abundant number, since it is smaller than the sum of its proper divisors (60538531680).

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

19712056320 is a wasteful number, since it uses less digits than its factorization.

19712056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 19712056320 in words is "nineteen billion, seven hundred twelve million, fifty-six thousand, three hundred twenty".