58972756752 has 720 divisors, whose sum is σ = 220100912640. Its totient is φ = 14984040960.

The previous prime is 58972756741. The next prime is 58972756771. The reversal of 58972756752 is 25765727985.

58972756752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 58972756752.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264451713 + ... + 264451935.

It is an arithmetic number, because the mean of its divisors is an integer number (305695712).

Almost surely, 2^58972756752 is an apocalyptic number.

58972756752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58972756752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110050456320).

58972756752 is an abundant number, since it is smaller than the sum of its proper divisors (161128155888).

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

58972756752 is a wasteful number, since it uses less digits than its factorization.

58972756752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 279 counting only the distinct ones).

The product of its digits is 74088000, while the sum is 63.

The spelling of 58972756752 in words is "fifty-eight billion, nine hundred seventy-two million, seven hundred fifty-six thousand, seven hundred fifty-two".