199753086420 has 96 divisors (see below), whose sum is σ = 622131820800. Its totient is φ = 53209395072.

The previous prime is 199753086397. The next prime is 199753086437. The reversal of 199753086420 is 24680357991.

199753086420 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 530 + 86 + 4 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295002 + ... + 697518.

It is an arithmetic number, because the mean of its divisors is an integer number (6480539800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅199753086420 = 399506172840, but 3⋅199753086420 = 599259259260 is not.

Almost surely, 2^199753086420 is an apocalyptic number.

199753086420 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 199753086420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311065910400).

199753086420 is an abundant number, since it is smaller than the sum of its proper divisors (422378734380).

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

199753086420 is a wasteful number, since it uses less digits than its factorization.

199753086420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403454 (or 403446 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 199753086420 in words is "one hundred ninety-nine billion, seven hundred fifty-three million, eighty-six thousand, four hundred twenty".