1999367720100 has 189 divisors, whose sum is σ = 6506208543667. Its totient is φ = 533062918080.

The previous prime is 1999367720093. The next prime is 1999367720173. The reversal of 1999367720100 is 10277639991.

It is a happy number.

The square root of 1999367720100 is 1413990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 126367452324 + 1873000267776 = 355482^2 + 1368576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 381774682 + ... + 381779918.

Almost surely, 2^{1999367720100} is an apocalyptic number.

1999367720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1999367720100 is the 1413990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1999367720100

1999367720100 is an abundant number, since it is smaller than the sum of its proper divisors (4506840823567).

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

1999367720100 is an frugal number, since it uses more digits than its factorization.

1999367720100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 1999367720100 in words is "one trillion, nine hundred ninety-nine billion, three hundred sixty-seven million, seven hundred twenty thousand, one hundred".