42786517800 has 96 divisors (see below), whose sum is σ = 142841170080. Its totient is φ = 10532064000.

The previous prime is 42786517777. The next prime is 42786517841. The reversal of 42786517800 is 871568724.

42786517800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42786517800² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42786517800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2734926 + ... + 2750525.

It is an arithmetic number, because the mean of its divisors is an integer number (1487928855).

Almost surely, 2^42786517800 is an apocalyptic number.

42786517800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42786517800 is an abundant number, since it is smaller than the sum of its proper divisors (100054652280).

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

42786517800 is a wasteful number, since it uses less digits than its factorization.

42786517800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485483 (or 5485474 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 42786517800 in words is "forty-two billion, seven hundred eighty-six million, five hundred seventeen thousand, eight hundred".