42513609600 has 1152 divisors, whose sum is σ = 199281888000. Its totient is φ = 8360755200.

The previous prime is 42513609557. The next prime is 42513609643. The reversal of 42513609600 is 690631524.

It is a happy number.

42513609600 is a `hidden beast` number, since 42 + 5 + 1 + 3 + 6 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42513609557) and next prime (42513609643).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42133896 + ... + 42134904.

It is an arithmetic number, because the mean of its divisors is an integer number (172987750).

Almost surely, 2^42513609600 is an apocalyptic number.

42513609600 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 42513609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99640944000).

42513609600 is an abundant number, since it is smaller than the sum of its proper divisors (156768278400).

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

42513609600 is a wasteful number, since it uses less digits than its factorization.

42513609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42513609600 in words is "forty-two billion, five hundred thirteen million, six hundred nine thousand, six hundred".