19970239322880 has 4320 divisors, whose sum is σ = 97608375406080. Its totient is φ = 3776672563200.

The previous prime is 19970239322807. The next prime is 19970239322983. The reversal of 19970239322880 is 8822393207991.

19970239322880 is a `hidden beast` number, since 1 + 9 + 9 + 70 + 239 + 322 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×19970239322880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 145768170172 + ... + 145768170308.

It is an arithmetic number, because the mean of its divisors is an integer number (22594531344).

Almost surely, 2^{19970239322880} is an apocalyptic number.

19970239322880 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 19970239322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48804187703040).

19970239322880 is an abundant number, since it is smaller than the sum of its proper divisors (77638136083200).

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

19970239322880 is a wasteful number, since it uses less digits than its factorization.

19970239322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 19970239322880 in words is "nineteen trillion, nine hundred seventy billion, two hundred thirty-nine million, three hundred twenty-two thousand, eight hundred eighty".