42825287531520 has 528 divisors, whose sum is σ = 159907496740992. Its totient is φ = 10534716702720.

The previous prime is 42825287531471. The next prime is 42825287531539. The reversal of 42825287531520 is 2513578252824.

42825287531520 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 5 + 2 + 87 + 5 + 31 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948257740 + ... + 948302900.

It is an arithmetic number, because the mean of its divisors is an integer number (302855107464).

Almost surely, 2^{42825287531520} is an apocalyptic number.

42825287531520 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 42825287531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79953748370496).

42825287531520 is an abundant number, since it is smaller than the sum of its proper divisors (117082209209472).

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

42825287531520 is a wasteful number, since it uses less digits than its factorization.

42825287531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46788 (or 46767 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 42825287531520 in words is "forty-two trillion, eight hundred twenty-five billion, two hundred eighty-seven million, five hundred thirty-one thousand, five hundred twenty".