58006960752 has 80 divisors (see below), whose sum is σ = 165739982240. Its totient is φ = 17365902336.

The previous prime is 58006960751. The next prime is 58006960769. The reversal of 58006960752 is 25706960085.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58006960751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233127 + ... + 1279302.

It is an arithmetic number, because the mean of its divisors is an integer number (2071749778).

Almost surely, 2^58006960752 is an apocalyptic number.

58006960752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

58006960752 is an abundant number, since it is smaller than the sum of its proper divisors (107733021488).

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

58006960752 is a wasteful number, since it uses less digits than its factorization.

58006960752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512490 (or 2512484 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 58006960752 in words is "fifty-eight billion, six million, nine hundred sixty thousand, seven hundred fifty-two".