58847120640 has 1296 divisors, whose sum is σ = 264292339584. Its totient is φ = 11824496640.

The previous prime is 58847120639. The next prime is 58847120641. The reversal of 58847120640 is 4602174885.

58847120640 is a `hidden beast` number, since 588 + 4 + 7 + 1 + 2 + 0 + 64 + 0 = 666.

58847120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58847120639) and next prime (58847120641).

It is a super-3 number, since 3×58847120640³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58847120641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361025199 + ... + 361025361.

Almost surely, 2^58847120640 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 58847120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132146169792).

58847120640 is an abundant number, since it is smaller than the sum of its proper divisors (205445218944).

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

58847120640 is a wasteful number, since it uses less digits than its factorization.

58847120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 58847120640 in words is "fifty-eight billion, eight hundred forty-seven million, one hundred twenty thousand, six hundred forty".