42893660160 has 1092 divisors, whose sum is σ = 176942407932. Its totient is φ = 9937354752.

The previous prime is 42893660081. The next prime is 42893660171. The reversal of 42893660160 is 6106639824.

42893660160 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 36 + 601 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4087812096 + 38805848064 = 63936^2 + 196992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2523156472 + ... + 2523156488.

Almost surely, 2^42893660160 is an apocalyptic number.

42893660160 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 42893660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88471203966).

42893660160 is an abundant number, since it is smaller than the sum of its proper divisors (134048747772).

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

42893660160 is an equidigital number, since it uses as much as digits as its factorization.

42893660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 42893660160 in words is "forty-two billion, eight hundred ninety-three million, six hundred sixty thousand, one hundred sixty".