59942048544 has 384 divisors, whose sum is σ = 208587778560. Its totient is φ = 16389734400.

The previous prime is 59942048531. The next prime is 59942048557. The reversal of 59942048544 is 44584024995.

59942048544 is a `hidden beast` number, since 5 + 9 + 94 + 2 + 0 + 4 + 8 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (59942048531) and next prime (59942048557).

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, 13140024 + ... + 13144584.

It is an arithmetic number, because the mean of its divisors is an integer number (543197340).

Almost surely, 2^59942048544 is an apocalyptic number.

59942048544 is a gapful number since it is divisible by the number (54) 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 59942048544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104293889280).

59942048544 is an abundant number, since it is smaller than the sum of its proper divisors (148645730016).

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

59942048544 is a wasteful number, since it uses less digits than its factorization.

59942048544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 59942048544 in words is "fifty-nine billion, nine hundred forty-two million, forty-eight thousand, five hundred forty-four".