1152991729190 has 64 divisors (see below), whose sum is σ = 2398195382400. Its totient is φ = 390939279360.

The previous prime is 1152991729189. The next prime is 1152991729217. The reversal of 1152991729190 is 919271992511.

It is a super-2 number, since 2×1152991729190² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3389270 + ... + 3713910.

It is an arithmetic number, because the mean of its divisors is an integer number (37471802850).

Almost surely, 2^{1152991729190} is an apocalyptic number.

1152991729190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1152991729190 is an abundant number, since it is smaller than the sum of its proper divisors (1245203653210).

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

1152991729190 is a wasteful number, since it uses less digits than its factorization.

1152991729190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325217.

The product of its (nonzero) digits is 918540, while the sum is 56.

The spelling of 1152991729190 in words is "one trillion, one hundred fifty-two billion, nine hundred ninety-one million, seven hundred twenty-nine thousand, one hundred ninety".