42054536160 has 1296 divisors, whose sum is σ = 191237469696. Its totient is φ = 8339853312.

The previous prime is 42054536137. The next prime is 42054536177. The reversal of 42054536160 is 6163545024.

42054536160 is a `hidden beast` number, since 4 + 20 + 545 + 36 + 1 + 60 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 331138017 + ... + 331138143.

It is an arithmetic number, because the mean of its divisors is an integer number (147559776).

Almost surely, 2^42054536160 is an apocalyptic number.

42054536160 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 42054536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618734848).

42054536160 is an abundant number, since it is smaller than the sum of its proper divisors (149182933536).

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

42054536160 is a wasteful number, since it uses less digits than its factorization.

42054536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42054536160 in words is "forty-two billion, fifty-four million, five hundred thirty-six thousand, one hundred sixty".