59542428456 has 256 divisors, whose sum is σ = 200021760000. Its totient is φ = 16031748096.

The previous prime is 59542428443. The next prime is 59542428467. The reversal of 59542428456 is 65482424595.

59542428456 is a `hidden beast` number, since 5 + 9 + 542 + 42 + 8 + 4 + 56 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 5539135 + ... + 5549873.

It is an arithmetic number, because the mean of its divisors is an integer number (781335000).

Almost surely, 2^59542428456 is an apocalyptic number.

59542428456 is a gapful number since it is divisible by the number (56) 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 59542428456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100010880000).

59542428456 is an abundant number, since it is smaller than the sum of its proper divisors (140479331544).

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

59542428456 is a wasteful number, since it uses less digits than its factorization.

59542428456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10973 (or 10963 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 59542428456 in words is "fifty-nine billion, five hundred forty-two million, four hundred twenty-eight thousand, four hundred fifty-six".