58957463040 has 640 divisors, whose sum is σ = 222207777792. Its totient is φ = 13058703360.

The previous prime is 58957463017. The next prime is 58957463063. The reversal of 58957463040 is 4036475985.

It is an interprime number because it is at equal distance from previous prime (58957463017) and next prime (58957463063).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×58957463040² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325731750 + ... + 325731930.

Almost surely, 2^58957463040 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 58957463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111103888896).

58957463040 is an abundant number, since it is smaller than the sum of its proper divisors (163250314752).

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

58957463040 is a wasteful number, since it uses less digits than its factorization.

58957463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 58957463040 in words is "fifty-eight billion, nine hundred fifty-seven million, four hundred sixty-three thousand, forty".