199207850189040 has 2560 divisors, whose sum is σ = 914373476352000. Its totient is φ = 38615715532800.

The previous prime is 199207850188993. The next prime is 199207850189063. The reversal of 199207850189040 is 40981058702991.

199207850189040 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 0 + 7 + 8 + 501 + 89 + 0 + 40 = 666.

It is a super-2 number, since 2×199207850189040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 55784890455 + ... + 55784894025.

It is an arithmetic number, because the mean of its divisors is an integer number (357177139200).

Almost surely, 2^{199207850189040} is an apocalyptic number.

199207850189040 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 199207850189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457186738176000).

199207850189040 is an abundant number, since it is smaller than the sum of its proper divisors (715165626162960).

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

199207850189040 is a wasteful number, since it uses less digits than its factorization.

199207850189040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 199207850189040 in words is "one hundred ninety-nine trillion, two hundred seven billion, eight hundred fifty million, one hundred eighty-nine thousand, forty".