19735863040 has 144 divisors (see below), whose sum is σ = 50805189792. Its totient is φ = 7318536192.

The previous prime is 19735863019. The next prime is 19735863101. The reversal of 19735863040 is 4036853791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1451152 + ... + 1464688.

It is an arithmetic number, because the mean of its divisors is an integer number (352813818).

Almost surely, 2^19735863040 is an apocalyptic number.

19735863040 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 19735863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25402594896).

19735863040 is an abundant number, since it is smaller than the sum of its proper divisors (31069326752).

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

19735863040 is a wasteful number, since it uses less digits than its factorization.

19735863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 19735863040 in words is "nineteen billion, seven hundred thirty-five million, eight hundred sixty-three thousand, forty".