199907742893472 has 192 divisors, whose sum is σ = 626810394470400. Its totient is φ = 61785595549440.

The previous prime is 199907742893471. The next prime is 199907742893489. The reversal of 199907742893472 is 274398247709991.

199907742893472 is a `hidden beast` number, since 1 + 9 + 9 + 90 + 7 + 7 + 428 + 9 + 34 + 72 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 199907742893391 and 199907742893400.

It is not an unprimeable number, because it can be changed into a prime (199907742893471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128777554 + ... + 130320657.

It is an arithmetic number, because the mean of its divisors is an integer number (3264637471200).

Almost surely, 2^{199907742893472} is an apocalyptic number.

199907742893472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199907742893472 is an abundant number, since it is smaller than the sum of its proper divisors (426902651576928).

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

199907742893472 is a wasteful number, since it uses less digits than its factorization.

199907742893472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259098296 (or 259098282 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 81.

The spelling of 199907742893472 in words is "one hundred ninety-nine trillion, nine hundred seven billion, seven hundred forty-two million, eight hundred ninety-three thousand, four hundred seventy-two".