42855772999680 has 1248 divisors, whose sum is σ = 160342830595584. Its totient is φ = 10970839646208.

The previous prime is 42855772999553. The next prime is 42855772999729. The reversal of 42855772999680 is 8699927755824.

42855772999680 is a `hidden beast` number, since 42 + 85 + 57 + 7 + 299 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 42855772999680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12396808512 + ... + 12396811968.

It is an arithmetic number, because the mean of its divisors is an integer number (128479832208).

Almost surely, 2^{42855772999680} is an apocalyptic number.

42855772999680 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 42855772999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80171415297792).

42855772999680 is an abundant number, since it is smaller than the sum of its proper divisors (117487057595904).

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

42855772999680 is an equidigital number, since it uses as much as digits as its factorization.

42855772999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 42855772999680 in words is "forty-two trillion, eight hundred fifty-five billion, seven hundred seventy-two million, nine hundred ninety-nine thousand, six hundred eighty".