19974937858560 has 640 divisors, whose sum is σ = 74112667200000. Its totient is φ = 5092988092416.

The previous prime is 19974937858559. The next prime is 19974937858573. The reversal of 19974937858560 is 6585873947991.

19974937858560 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 49 + 3 + 7 + 8 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 19974937858560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206413066 + ... + 206509814.

It is an arithmetic number, because the mean of its divisors is an integer number (115801042500).

Almost surely, 2^{19974937858560} is an apocalyptic number.

19974937858560 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 19974937858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37056333600000).

19974937858560 is an abundant number, since it is smaller than the sum of its proper divisors (54137729341440).

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

19974937858560 is a wasteful number, since it uses less digits than its factorization.

19974937858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96913 (or 96891 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 81.

The spelling of 19974937858560 in words is "nineteen trillion, nine hundred seventy-four billion, nine hundred thirty-seven million, eight hundred fifty-eight thousand, five hundred sixty".