42893665250960 has 160 divisors (see below), whose sum is σ = 102451996402560. Its totient is φ = 16694809088000.

The previous prime is 42893665250929. The next prime is 42893665250963. The reversal of 42893665250960 is 6905256639824.

It is a super-2 number, since 2×42893665250960² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42893665250963) 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, 1941669515 + ... + 1941691605.

It is an arithmetic number, because the mean of its divisors is an integer number (640324977516).

Almost surely, 2^{42893665250960} is an apocalyptic number.

42893665250960 is a gapful number since it is divisible by the number (40) 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 42893665250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51225998201280).

42893665250960 is an abundant number, since it is smaller than the sum of its proper divisors (59558331151600).

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

42893665250960 is a wasteful number, since it uses less digits than its factorization.

42893665250960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26337 (or 26331 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 65.

The spelling of 42893665250960 in words is "forty-two trillion, eight hundred ninety-three billion, six hundred sixty-five million, two hundred fifty thousand, nine hundred sixty".