19957897774080 has 2112 divisors, whose sum is σ = 89269899264000. Its totient is φ = 4171682414592.

The previous prime is 19957897774079. The next prime is 19957897774127. The reversal of 19957897774080 is 8047779875991.

19957897774080 is a `hidden beast` number, since 1 + 9 + 9 + 57 + 8 + 97 + 77 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4798723041 + ... + 4798727199.

Almost surely, 2^{19957897774080} is an apocalyptic number.

19957897774080 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 19957897774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634949632000).

19957897774080 is an abundant number, since it is smaller than the sum of its proper divisors (69312001489920).

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

19957897774080 is a wasteful number, since it uses less digits than its factorization.

19957897774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 2240421120, while the sum is 81.

The spelling of 19957897774080 in words is "nineteen trillion, nine hundred fifty-seven billion, eight hundred ninety-seven million, seven hundred seventy-four thousand, eighty".