42895722355200 has 6720 divisors, whose sum is σ = 207960543673344. Its totient is φ = 8599633920000.

The previous prime is 42895722355177. The next prime is 42895722355207. The reversal of 42895722355200 is 255322759824.

It is a happy number.

42895722355200 is a `hidden beast` number, since 4 + 2 + 8 + 95 + 7 + 2 + 23 + 5 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42895722355207) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 703208563170 + ... + 703208563230.

Almost surely, 2^{42895722355200} is an apocalyptic number.

42895722355200 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 42895722355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980271836672).

42895722355200 is an abundant number, since it is smaller than the sum of its proper divisors (165064821318144).

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

42895722355200 is a wasteful number, since it uses less digits than its factorization.

42895722355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 42895722355200 in words is "forty-two trillion, eight hundred ninety-five billion, seven hundred twenty-two million, three hundred fifty-five thousand, two hundred".