199125407600640 has 1040 divisors, whose sum is σ = 752117189281920. Its totient is φ = 50256260628480.

The previous prime is 199125407600569. The next prime is 199125407600711. The reversal of 199125407600640 is 46006704521991.

199125407600640 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 25 + 4 + 0 + 7 + 600 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (199125407600569) and next prime (199125407600711).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40879777405 + ... + 40879782275.

Almost surely, 2^{199125407600640} is an apocalyptic number.

199125407600640 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 199125407600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376058594640960).

199125407600640 is an abundant number, since it is smaller than the sum of its proper divisors (552991781681280).

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

199125407600640 is a wasteful number, since it uses less digits than its factorization.

199125407600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6197 counting only the distinct ones).

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

The spelling of 199125407600640 in words is "one hundred ninety-nine trillion, one hundred twenty-five billion, four hundred seven million, six hundred thousand, six hundred forty".