19608780672000 has 3960 divisors, whose sum is σ = 86209247659392. Its totient is φ = 4425228288000.

The previous prime is 19608780671959. The next prime is 19608780672053. The reversal of 19608780672000 is 27608780691.

19608780672000 is a `hidden beast` number, since 1 + 9 + 608 + 7 + 8 + 0 + 6 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 632541311985 + ... + 632541312015.

Almost surely, 2^{19608780672000} is an apocalyptic number.

19608780672000 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 19608780672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43104623829696).

19608780672000 is an abundant number, since it is smaller than the sum of its proper divisors (66600466987392).

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

19608780672000 is a wasteful number, since it uses less digits than its factorization.

19608780672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 19608780672000 in words is "nineteen trillion, six hundred eight billion, seven hundred eighty million, six hundred seventy-two thousand".