19742971729320 has 768 divisors, whose sum is σ = 77660635852800. Its totient is φ = 4417569239040.

The previous prime is 19742971729303. The next prime is 19742971729357. The reversal of 19742971729320 is 2392717924791.

19742971729320 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 297 + 17 + 2 + 9 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 967450557 + ... + 967470963.

It is an arithmetic number, because the mean of its divisors is an integer number (101120619600).

Almost surely, 2^{19742971729320} is an apocalyptic number.

19742971729320 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 19742971729320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38830317926400).

19742971729320 is an abundant number, since it is smaller than the sum of its proper divisors (57917664123480).

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

19742971729320 is a wasteful number, since it uses less digits than its factorization.

19742971729320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20740 (or 20724 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 19742971729320 in words is "nineteen trillion, seven hundred forty-two billion, nine hundred seventy-one million, seven hundred twenty-nine thousand, three hundred twenty".