58693972416960 has 448 divisors, whose sum is σ = 191830373678592. Its totient is φ = 15196211380224.

The previous prime is 58693972416851. The next prime is 58693972416977. The reversal of 58693972416960 is 6961427939685.

It is a super-2 number, since 2×58693972416960² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13918416772 + ... + 13918420988.

It is a 1-persistent number, because it is pandigital, but 2⋅58693972416960 = 117387944833920 is not.

Almost surely, 2^{58693972416960} 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 58693972416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95915186839296).

58693972416960 is an abundant number, since it is smaller than the sum of its proper divisors (133136401261632).

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

58693972416960 is a wasteful number, since it uses less digits than its factorization.

58693972416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 75.

The spelling of 58693972416960 in words is "fifty-eight trillion, six hundred ninety-three billion, nine hundred seventy-two million, four hundred sixteen thousand, nine hundred sixty".