42263588505600 has 5760 divisors, whose sum is σ = 207327792672000. Its totient is φ = 8427641241600.

The previous prime is 42263588505587. The next prime is 42263588505617. The reversal of 42263588505600 is 650588536224.

42263588505600 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 3 + 588 + 5 + 0 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

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 479 ways as a sum of consecutive naturals, for example, 578953267164 + ... + 578953267236.

It is an arithmetic number, because the mean of its divisors is an integer number (35994408450).

Almost surely, 2^{42263588505600} is an apocalyptic number.

42263588505600 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 42263588505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103663896336000).

42263588505600 is an abundant number, since it is smaller than the sum of its proper divisors (165064204166400).

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

42263588505600 is a wasteful number, since it uses less digits than its factorization.

42263588505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 42263588505600 in words is "forty-two trillion, two hundred sixty-three billion, five hundred eighty-eight million, five hundred five thousand, six hundred".