191878632000 has 896 divisors, whose sum is σ = 778240719360. Its totient is φ = 46469376000.

The previous prime is 191878631999. The next prime is 191878632017. The reversal of 191878632000 is 236878191.

191878632000 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 7 + 8 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192455502 + ... + 192456498.

Almost surely, 2^191878632000 is an apocalyptic number.

191878632000 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 191878632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389120359680).

191878632000 is an abundant number, since it is smaller than the sum of its proper divisors (586362087360).

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

191878632000 is an frugal number, since it uses more digits than its factorization.

191878632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 191878632000 in words is "one hundred ninety-one billion, eight hundred seventy-eight million, six hundred thirty-two thousand".