1577982968232 has 128 divisors (see below), whose sum is σ = 4359513623040. Its totient is φ = 471995239680.

The previous prime is 1577982968209. The next prime is 1577982968239. The reversal of 1577982968232 is 2328692897751.

It is not an unprimeable number, because it can be changed into a prime (1577982968239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7723863 + ... + 7925529.

It is an arithmetic number, because the mean of its divisors is an integer number (34058700180).

Almost surely, 2^{1577982968232} is an apocalyptic number.

1577982968232 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 1577982968232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179756811520).

1577982968232 is an abundant number, since it is smaller than the sum of its proper divisors (2781530654808).

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

1577982968232 is a wasteful number, since it uses less digits than its factorization.

1577982968232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202071 (or 202067 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 69.

The spelling of 1577982968232 in words is "one trillion, five hundred seventy-seven billion, nine hundred eighty-two million, nine hundred sixty-eight thousand, two hundred thirty-two".