19858728960 has 768 divisors, whose sum is σ = 83530137600. Its totient is φ = 4379443200.

The previous prime is 19858728949. The next prime is 19858728971. The reversal of 19858728960 is 6982785891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19858728949) and next prime (19858728971).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59995995 + ... + 59996325.

It is an arithmetic number, because the mean of its divisors is an integer number (108763200).

Almost surely, 2^19858728960 is an apocalyptic number.

19858728960 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 19858728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41765068800).

19858728960 is an abundant number, since it is smaller than the sum of its proper divisors (63671408640).

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

19858728960 is a wasteful number, since it uses less digits than its factorization.

19858728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 19858728960 in words is "nineteen billion, eight hundred fifty-eight million, seven hundred twenty-eight thousand, nine hundred sixty".