58352138744640 has 896 divisors, whose sum is σ = 203608632794112. Its totient is φ = 14073106268160.

The previous prime is 58352138744617. The next prime is 58352138744719. The reversal of 58352138744640 is 4644783125385.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 57151947330 + ... + 57151948350.

It is an arithmetic number, because the mean of its divisors is an integer number (227241777672).

Almost surely, 2^{58352138744640} 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 58352138744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101804316397056).

58352138744640 is an abundant number, since it is smaller than the sum of its proper divisors (145256494049472).

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

58352138744640 is a wasteful number, since it uses less digits than its factorization.

58352138744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 58352138744640 in words is "fifty-eight trillion, three hundred fifty-two billion, one hundred thirty-eight million, seven hundred forty-four thousand, six hundred forty".