59461541144064 has 800 divisors, whose sum is σ = 195251858081280. Its totient is φ = 17932243304448.

The previous prime is 59461541144003. The next prime is 59461541144143. The reversal of 59461541144064 is 46044114516495.

59461541144064 is a `hidden beast` number, since 5 + 9 + 4 + 615 + 4 + 1 + 14 + 4 + 0 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 59461541144064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13175610672 + ... + 13175615184.

Almost surely, 2^{59461541144064} is an apocalyptic number.

59461541144064 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 59461541144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97625929040640).

59461541144064 is an abundant number, since it is smaller than the sum of its proper divisors (135790316937216).

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

59461541144064 is a wasteful number, since it uses less digits than its factorization.

59461541144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5287 counting only the distinct ones).

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

The spelling of 59461541144064 in words is "fifty-nine trillion, four hundred sixty-one billion, five hundred forty-one million, one hundred forty-four thousand, sixty-four".