199540670178528 has 432 divisors, whose sum is σ = 694880126151120. Its totient is φ = 54007043715072.

The previous prime is 199540670178497. The next prime is 199540670178539. The reversal of 199540670178528 is 825871076045991.

It is a happy number.

199540670178528 is a `hidden beast` number, since 1 + 9 + 9 + 540 + 6 + 7 + 0 + 1 + 78 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6953349076 + ... + 6953377772.

It is an arithmetic number, because the mean of its divisors is an integer number (1608518810535).

Almost surely, 2^{199540670178528} is an apocalyptic number.

199540670178528 is a gapful number since it is divisible by the number (18) 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 199540670178528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347440063075560).

199540670178528 is an abundant number, since it is smaller than the sum of its proper divisors (495339455972592).

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

199540670178528 is a wasteful number, since it uses less digits than its factorization.

199540670178528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54679 (or 54661 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 199540670178528 in words is "one hundred ninety-nine trillion, five hundred forty billion, six hundred seventy million, one hundred seventy-eight thousand, five hundred twenty-eight".