1969135872 has 288 divisors, whose sum is σ = 6040559616. Its totient is φ = 564019200.

The previous prime is 1969135837. The next prime is 1969135943. The reversal of 1969135872 is 2785319691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19117773 + ... + 19117875.

Almost surely, 2^1969135872 is an apocalyptic number.

1969135872 is a gapful number since it is divisible by the number (12) 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 1969135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020279808).

1969135872 is an abundant number, since it is smaller than the sum of its proper divisors (4071423744).

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

1969135872 is a wasteful number, since it uses less digits than its factorization.

1969135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 1969135872 is about 44374.9464450381. The cubic root of 1969135872 is about 1253.4063616217.

The spelling of 1969135872 in words is "one billion, nine hundred sixty-nine million, one hundred thirty-five thousand, eight hundred seventy-two".