58515152112 has 640 divisors, whose sum is σ = 191987712000. Its totient is φ = 16982784000.

The previous prime is 58515152099. The next prime is 58515152117. The reversal of 58515152112 is 21125151585.

It is a happy number.

58515152112 is a `hidden beast` number, since 5 + 85 + 1 + 51 + 521 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58515152117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 740698089 + ... + 740698167.

It is an arithmetic number, because the mean of its divisors is an integer number (299980800).

Almost surely, 2^58515152112 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 58515152112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993856000).

58515152112 is an abundant number, since it is smaller than the sum of its proper divisors (133472559888).

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

58515152112 is a wasteful number, since it uses less digits than its factorization.

58515152112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its digits is 20000, while the sum is 36.

The spelling of 58515152112 in words is "fifty-eight billion, five hundred fifteen million, one hundred fifty-two thousand, one hundred twelve".