1896432080256 has 768 divisors, whose sum is σ = 6736714358400. Its totient is φ = 500530544640.

The previous prime is 1896432080209. The next prime is 1896432080281. The reversal of 1896432080256 is 6520802346981.

1896432080256 is a `hidden beast` number, since 1 + 8 + 9 + 64 + 320 + 8 + 0 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527811196 + ... + 527814788.

Almost surely, 2^{1896432080256} is an apocalyptic number.

1896432080256 is a gapful number since it is divisible by the number (16) 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 1896432080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368357179200).

1896432080256 is an abundant number, since it is smaller than the sum of its proper divisors (4840282278144).

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

1896432080256 is a wasteful number, since it uses less digits than its factorization.

1896432080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1896432080256 in words is "one trillion, eight hundred ninety-six billion, four hundred thirty-two million, eighty thousand, two hundred fifty-six".