19973080905120 has 864 divisors, whose sum is σ = 82322338670208. Its totient is φ = 4319117365248.

The previous prime is 19973080905083. The next prime is 19973080905157. The reversal of 19973080905120 is 2150908037991.

19973080905120 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 30 + 8 + 0 + 90 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19973080905083) and next prime (19973080905157).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3009350442 + ... + 3009357078.

It is an arithmetic number, because the mean of its divisors is an integer number (95280484572).

Almost surely, 2^{19973080905120} is an apocalyptic number.

19973080905120 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 19973080905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41161169335104).

19973080905120 is an abundant number, since it is smaller than the sum of its proper divisors (62349257765088).

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

19973080905120 is a wasteful number, since it uses less digits than its factorization.

19973080905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 19973080905120 in words is "nineteen trillion, nine hundred seventy-three billion, eighty million, nine hundred five thousand, one hundred twenty".