199129942978560 has 1664 divisors, whose sum is σ = 784587188736000. Its totient is φ = 48103485603840.

The previous prime is 199129942978541. The next prime is 199129942978573. The reversal of 199129942978560 is 65879249921991.

199129942978560 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 2 + 9 + 9 + 42 + 9 + 7 + 8 + 560 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199129942978560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191655382521 + ... + 191655383559.

It is an arithmetic number, because the mean of its divisors is an integer number (471506724000).

Almost surely, 2^{199129942978560} is an apocalyptic number.

199129942978560 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 199129942978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392293594368000).

199129942978560 is an abundant number, since it is smaller than the sum of its proper divisors (585457245757440).

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

199129942978560 is an equidigital number, since it uses as much as digits as its factorization.

199129942978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 81.

The spelling of 199129942978560 in words is "one hundred ninety-nine trillion, one hundred twenty-nine billion, nine hundred forty-two million, nine hundred seventy-eight thousand, five hundred sixty".