42564972528 has 480 divisors, whose sum is σ = 141546496000. Its totient is φ = 12274633728.

The previous prime is 42564972523. The next prime is 42564972529. The reversal of 42564972528 is 82527946524.

42564972528 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 49 + 72 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564972523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121962498 + ... + 121962846.

Almost surely, 2^42564972528 is an apocalyptic number.

42564972528 is a gapful number since it is divisible by the number (48) 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 42564972528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70773248000).

42564972528 is an abundant number, since it is smaller than the sum of its proper divisors (98981523472).

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

42564972528 is a wasteful number, since it uses less digits than its factorization.

42564972528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 42564972528 in words is "forty-two billion, five hundred sixty-four million, nine hundred seventy-two thousand, five hundred twenty-eight".