19870339754460 has 384 divisors, whose sum is σ = 61913543731200. Its totient is φ = 4729831501824.

The previous prime is 19870339754431. The next prime is 19870339754471. The reversal of 19870339754460 is 6445793307891.

It is a junction number, because it is equal to n+sod(n) for n = 19870339754391 and 19870339754400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8517075454 + ... + 8517077786.

It is an arithmetic number, because the mean of its divisors is an integer number (161233186800).

Almost surely, 2^{19870339754460} is an apocalyptic number.

19870339754460 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 19870339754460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30956771865600).

19870339754460 is an abundant number, since it is smaller than the sum of its proper divisors (42043203976740).

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

19870339754460 is a wasteful number, since it uses less digits than its factorization.

19870339754460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 19870339754460 in words is "nineteen trillion, eight hundred seventy billion, three hundred thirty-nine million, seven hundred fifty-four thousand, four hundred sixty".