19976678098560 has 768 divisors, whose sum is σ = 76071287635200. Its totient is φ = 4809477980160.

The previous prime is 19976678098547. The next prime is 19976678098561. The reversal of 19976678098560 is 6589087667991.

It is a self number, because there is not a number n which added to its sum of digits gives 19976678098560.

It is not an unprimeable number, because it can be changed into a prime (19976678098561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257197011 + ... + 257274669.

It is an arithmetic number, because the mean of its divisors is an integer number (99051155775).

Almost surely, 2^{19976678098560} is an apocalyptic number.

19976678098560 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 19976678098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38035643817600).

19976678098560 is an abundant number, since it is smaller than the sum of its proper divisors (56094609536640).

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

19976678098560 is a wasteful number, since it uses less digits than its factorization.

19976678098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77809 (or 77794 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 19976678098560 in words is "nineteen trillion, nine hundred seventy-six billion, six hundred seventy-eight million, ninety-eight thousand, five hundred sixty".