42586899768000 has 896 divisors, whose sum is σ = 178714256947200. Its totient is φ = 9726151680000.

The previous prime is 42586899767983. The next prime is 42586899768079. The reversal of 42586899768000 is 86799868524.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 42586899768000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1948957075 + ... + 1948978925.

Almost surely, 2^{42586899768000} is an apocalyptic number.

42586899768000 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 42586899768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89357128473600).

42586899768000 is an abundant number, since it is smaller than the sum of its proper divisors (136127357179200).

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

42586899768000 is a wasteful number, since it uses less digits than its factorization.

42586899768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23183 (or 23157 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 42586899768000 in words is "forty-two trillion, five hundred eighty-six billion, eight hundred ninety-nine million, seven hundred sixty-eight thousand".