19786457760 has 384 divisors, whose sum is σ = 67819659264. Its totient is φ = 4830658560.

The previous prime is 19786457749. The next prime is 19786457767. The reversal of 19786457760 is 6775468791.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 19786457694 and 19786457703.

It is not an unprimeable number, because it can be changed into a prime (19786457767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63215364 + ... + 63215676.

It is an arithmetic number, because the mean of its divisors is an integer number (176613696).

Almost surely, 2^19786457760 is an apocalyptic number.

19786457760 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 19786457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33909829632).

19786457760 is an abundant number, since it is smaller than the sum of its proper divisors (48033201504).

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

19786457760 is a wasteful number, since it uses less digits than its factorization.

19786457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 19786457760 in words is "nineteen billion, seven hundred eighty-six million, four hundred fifty-seven thousand, seven hundred sixty".