199696765957920 has 5760 divisors, whose sum is σ = 973676831694336. Its totient is φ = 37575622656000.

The previous prime is 199696765957891. The next prime is 199696765957939. The reversal of 199696765957920 is 29759567696991.

199696765957920 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 9 + 6 + 7 + 6 + 5 + 9 + 579 + 20 = 666.

199696765957920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 603313492155 + ... + 603313492485.

Almost surely, 2^{199696765957920} is an apocalyptic number.

199696765957920 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 199696765957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486838415847168).

199696765957920 is an abundant number, since it is smaller than the sum of its proper divisors (773980065736416).

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

199696765957920 is a wasteful number, since it uses less digits than its factorization.

199696765957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 31248730800, while the sum is 90.

The spelling of 199696765957920 in words is "one hundred ninety-nine trillion, six hundred ninety-six billion, seven hundred sixty-five million, nine hundred fifty-seven thousand, nine hundred twenty".