42547166197560 has 288 divisors, whose sum is σ = 143618119575840. Its totient is φ = 11343641054976.

The previous prime is 42547166197559. The next prime is 42547166197561. The reversal of 42547166197560 is 6579166174524.

42547166197560 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 7 + 1 + 6 + 61 + 9 + 7 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (42547166197559) and next prime (42547166197561).

It is a super-2 number, since 2×42547166197560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42547166197561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1620028989 + ... + 1620055251.

It is an arithmetic number, because the mean of its divisors is an integer number (498674026305).

Almost surely, 2^{42547166197560} is an apocalyptic number.

42547166197560 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 42547166197560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71809059787920).

42547166197560 is an abundant number, since it is smaller than the sum of its proper divisors (101070953378280).

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

42547166197560 is an equidigital number, since it uses as much as digits as its factorization.

42547166197560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32471 (or 32446 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 42547166197560 in words is "forty-two trillion, five hundred forty-seven billion, one hundred sixty-six million, one hundred ninety-seven thousand, five hundred sixty".