42527975207760 has 400 divisors, whose sum is σ = 168822007200000. Its totient is φ = 9719804915712.

The previous prime is 42527975207639. The next prime is 42527975207789. The reversal of 42527975207760 is 6770257972524.

It is a happy number.

42527975207760 is a `hidden beast` number, since 4 + 25 + 27 + 9 + 7 + 520 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 596856616 + ... + 596927864.

It is an arithmetic number, because the mean of its divisors is an integer number (422055018000).

Almost surely, 2^{42527975207760} is an apocalyptic number.

42527975207760 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 42527975207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84411003600000).

42527975207760 is an abundant number, since it is smaller than the sum of its proper divisors (126294031992240).

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

42527975207760 is a wasteful number, since it uses less digits than its factorization.

42527975207760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84440 (or 84425 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 42527975207760 in words is "forty-two trillion, five hundred twenty-seven billion, nine hundred seventy-five million, two hundred seven thousand, seven hundred sixty".