42520535504000 has 128 divisors (see below), whose sum is σ = 106686563583600. Its totient is φ = 16852174848000.

The previous prime is 42520535503987. The next prime is 42520535504077. The reversal of 42520535504000 is 40553502524.

It can be written as a sum of positive squares in 8 ways, for example, as 346525304896 + 42174010199104 = 588664^2 + 6494152^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10446521 + ... + 13934520.

Almost surely, 2^{42520535504000} is an apocalyptic number.

42520535504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42520535504000 is an abundant number, since it is smaller than the sum of its proper divisors (64166028079600).

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

42520535504000 is a wasteful number, since it uses less digits than its factorization.

42520535504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24381179 (or 24381157 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 42520535504000 in words is "forty-two trillion, five hundred twenty billion, five hundred thirty-five million, five hundred four thousand".