1191901148520 has 192 divisors, whose sum is σ = 3716707835520. Its totient is φ = 305716992000.

The previous prime is 1191901148513. The next prime is 1191901148531. The reversal of 1191901148520 is 258411091911.

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 47 ways as a sum of consecutive naturals, for example, 14280510 + ... + 14363730.

It is an arithmetic number, because the mean of its divisors is an integer number (19357853310).

Almost surely, 2^{1191901148520} is an apocalyptic number.

1191901148520 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 1191901148520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858353917760).

1191901148520 is an abundant number, since it is smaller than the sum of its proper divisors (2524806687000).

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

1191901148520 is a wasteful number, since it uses less digits than its factorization.

1191901148520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83388 (or 83343 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 42.

The spelling of 1191901148520 in words is "one trillion, one hundred ninety-one billion, nine hundred one million, one hundred forty-eight thousand, five hundred twenty".