59958561949440 has 1152 divisors, whose sum is σ = 252934406258688. Its totient is φ = 11719248445440.

The previous prime is 59958561949397. The next prime is 59958561949471. The reversal of 59958561949440 is 4494916585995.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16622832117 + ... + 16622835723.

It is an arithmetic number, because the mean of its divisors is an integer number (219561116544).

Almost surely, 2^{59958561949440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59958561949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126467203129344).

59958561949440 is an abundant number, since it is smaller than the sum of its proper divisors (192975844309248).

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

59958561949440 is a wasteful number, since it uses less digits than its factorization.

59958561949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 2519424000, while the sum is 78.

The spelling of 59958561949440 in words is "fifty-nine trillion, nine hundred fifty-eight billion, five hundred sixty-one million, nine hundred forty-nine thousand, four hundred forty".