42610533600 has 72 divisors (see below), whose sum is σ = 138697294680. Its totient is φ = 11362808320.

The previous prime is 42610533593. The next prime is 42610533607. The reversal of 42610533600 is 633501624.

It is an interprime number because it is at equal distance from previous prime (42610533593) and next prime (42610533607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42610533607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8874795 + ... + 8879594.

It is an arithmetic number, because the mean of its divisors is an integer number (1926351315).

Almost surely, 2^42610533600 is an apocalyptic number.

42610533600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42610533600 is an abundant number, since it is smaller than the sum of its proper divisors (96086761080).

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

42610533600 is a wasteful number, since it uses less digits than its factorization.

42610533600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17754412 (or 17754399 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 42610533600 in words is "forty-two billion, six hundred ten million, five hundred thirty-three thousand, six hundred".