59390406144 has 160 divisors (see below), whose sum is σ = 180552625440. Its totient is φ = 19261587456.

The previous prime is 59390406139. The next prime is 59390406167. The reversal of 59390406144 is 44160409395.

59390406144 is a `hidden beast` number, since 593 + 9 + 0 + 40 + 6 + 14 + 4 = 666.

59390406144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 59390406144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453432 + ... + 569544.

It is an arithmetic number, because the mean of its divisors is an integer number (1128453909).

Almost surely, 2^59390406144 is an apocalyptic number.

59390406144 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 59390406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90276312720).

59390406144 is an abundant number, since it is smaller than the sum of its proper divisors (121162219296).

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

59390406144 is a wasteful number, since it uses less digits than its factorization.

59390406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116177 (or 116155 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 59390406144 in words is "fifty-nine billion, three hundred ninety million, four hundred six thousand, one hundred forty-four".