42771558060000 has 2400 divisors, whose sum is σ = 198457348320000. Its totient is φ = 8884632960000.

The previous prime is 42771558059987. The next prime is 42771558060047. The reversal of 42771558060000 is 6085517724.

42771558060000 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 1 + 5 + 580 + 60 + 0 + 0 + 0 = 666.

42771558060000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 14261938501 + ... + 14261941499.

It is an arithmetic number, because the mean of its divisors is an integer number (82690561800).

Almost surely, 2^{42771558060000} is an apocalyptic number.

42771558060000 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 42771558060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99228674160000).

42771558060000 is an abundant number, since it is smaller than the sum of its proper divisors (155685790260000).

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

42771558060000 is an equidigital number, since it uses as much as digits as its factorization.

42771558060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 42771558060000 in words is "forty-two trillion, seven hundred seventy-one billion, five hundred fifty-eight million, sixty thousand".