42527224073880 has 1152 divisors, whose sum is σ = 174415635313920. Its totient is φ = 8907269898240.

The previous prime is 42527224073849. The next prime is 42527224073897. The reversal of 42527224073880 is 8837042272524.

42527224073880 is a `hidden beast` number, since 4 + 2 + 527 + 2 + 2 + 4 + 0 + 7 + 38 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20614261729 + ... + 20614263791.

It is an arithmetic number, because the mean of its divisors is an integer number (151402461210).

Almost surely, 2^{42527224073880} is an apocalyptic number.

42527224073880 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 42527224073880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87207817656960).

42527224073880 is an abundant number, since it is smaller than the sum of its proper divisors (131888411240040).

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

42527224073880 is a wasteful number, since it uses less digits than its factorization.

42527224073880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 42527224073880 in words is "forty-two trillion, five hundred twenty-seven billion, two hundred twenty-four million, seventy-three thousand, eight hundred eighty".