19970300512800 has 432 divisors, whose sum is σ = 76888076035680. Its totient is φ = 4837128192000.

The previous prime is 19970300512793. The next prime is 19970300512861. The reversal of 19970300512800 is 821500307991.

19970300512800 is a `hidden beast` number, since 19 + 9 + 7 + 0 + 300 + 51 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92635536 + ... + 92850864.

It is an arithmetic number, because the mean of its divisors is an integer number (177981657490).

Almost surely, 2^{19970300512800} is an apocalyptic number.

19970300512800 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 19970300512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38444038017840).

19970300512800 is an abundant number, since it is smaller than the sum of its proper divisors (56917775522880).

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

19970300512800 is a wasteful number, since it uses less digits than its factorization.

19970300512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216537 (or 216521 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 19970300512800 in words is "nineteen trillion, nine hundred seventy billion, three hundred million, five hundred twelve thousand, eight hundred".