42875448295680 has 5184 divisors, whose sum is σ = 212563895072256. Its totient is φ = 7701449932800.

The previous prime is 42875448295619. The next prime is 42875448295783. The reversal of 42875448295680 is 8659284457824.

It is a happy number.

42875448295680 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 54 + 4 + 8 + 2 + 9 + 568 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42875448295599 and 42875448295608.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 587334908124 + ... + 587334908196.

It is an arithmetic number, because the mean of its divisors is an integer number (41003837784).

Almost surely, 2^{42875448295680} is an apocalyptic number.

42875448295680 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 42875448295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106281947536128).

42875448295680 is an abundant number, since it is smaller than the sum of its proper divisors (169688446776576).

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

42875448295680 is a wasteful number, since it uses less digits than its factorization.

42875448295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 42875448295680 in words is "forty-two trillion, eight hundred seventy-five billion, four hundred forty-eight million, two hundred ninety-five thousand, six hundred eighty".