1956928544192 has 448 divisors, whose sum is σ = 4671990005760. Its totient is φ = 806580633600.

The previous prime is 1956928544167. The next prime is 1956928544267. The reversal of 1956928544192 is 2914458296591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1295120717 + ... + 1295122227.

It is an arithmetic number, because the mean of its divisors is an integer number (10428549120).

Almost surely, 2^{1956928544192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956928544192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335995002880).

1956928544192 is an abundant number, since it is smaller than the sum of its proper divisors (2715061461568).

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

1956928544192 is a wasteful number, since it uses less digits than its factorization.

1956928544192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1670 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 65.

The spelling of 1956928544192 in words is "one trillion, nine hundred fifty-six billion, nine hundred twenty-eight million, five hundred forty-four thousand, one hundred ninety-two".