58363987968 has 768 divisors, whose sum is σ = 208149177600. Its totient is φ = 16057958400.

The previous prime is 58363987949. The next prime is 58363987987. The reversal of 58363987968 is 86978936385.

58363987968 is a `hidden beast` number, since 58 + 363 + 98 + 79 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (58363987949) and next prime (58363987987).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (470292480) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 58363987896 and 58363987905.

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, 956786658 + ... + 956786718.

It is an arithmetic number, because the mean of its divisors is an integer number (271027575).

Almost surely, 2^58363987968 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 58363987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104074588800).

58363987968 is an abundant number, since it is smaller than the sum of its proper divisors (149785189632).

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

58363987968 is a wasteful number, since it uses less digits than its factorization.

58363987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 90 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 58363987968 in words is "fifty-eight billion, three hundred sixty-three million, nine hundred eighty-seven thousand, nine hundred sixty-eight".