42826792560 has 320 divisors, whose sum is σ = 141961628160. Its totient is φ = 10663833600.

The previous prime is 42826792559. The next prime is 42826792573. The reversal of 42826792560 is 6529762824.

It is a happy number.

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, 22527610 + ... + 22529510.

It is an arithmetic number, because the mean of its divisors is an integer number (443630088).

Almost surely, 2^42826792560 is an apocalyptic number.

42826792560 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 42826792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70980814080).

42826792560 is an abundant number, since it is smaller than the sum of its proper divisors (99134835600).

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

42826792560 is a wasteful number, since it uses less digits than its factorization.

42826792560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 42826792560 in words is "forty-two billion, eight hundred twenty-six million, seven hundred ninety-two thousand, five hundred sixty".