19785156760 has 128 divisors (see below), whose sum is σ = 47806848000. Its totient is φ = 7346820096.

The previous prime is 19785156739. The next prime is 19785156773. The reversal of 19785156760 is 6765158791.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20760444 + ... + 20761396.

It is an arithmetic number, because the mean of its divisors is an integer number (373491000).

Almost surely, 2^19785156760 is an apocalyptic number.

19785156760 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 19785156760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23903424000).

19785156760 is an abundant number, since it is smaller than the sum of its proper divisors (28021691240).

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

19785156760 is a wasteful number, since it uses less digits than its factorization.

19785156760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 19785156760 in words is "nineteen billion, seven hundred eighty-five million, one hundred fifty-six thousand, seven hundred sixty".