19747742938560 has 1344 divisors, whose sum is σ = 86872403165184. Its totient is φ = 4005199872000.

The previous prime is 19747742938487. The next prime is 19747742938579. The reversal of 19747742938560 is 6583924774791.

19747742938560 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 7 + 7 + 4 + 29 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1226788432 + ... + 1226804528.

It is an arithmetic number, because the mean of its divisors is an integer number (64637204736).

It is a 1-persistent number, because it is pandigital, but 2⋅19747742938560 = 39495485877120 is not.

Almost surely, 2^{19747742938560} is an apocalyptic number.

19747742938560 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 19747742938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436201582592).

19747742938560 is an abundant number, since it is smaller than the sum of its proper divisors (67124660226624).

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

19747742938560 is a wasteful number, since it uses less digits than its factorization.

19747742938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16322 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 19747742938560 in words is "nineteen trillion, seven hundred forty-seven billion, seven hundred forty-two million, nine hundred thirty-eight thousand, five hundred sixty".