58121967072 has 96 divisors (see below), whose sum is σ = 165488883840. Its totient is φ = 17754969600.

The previous prime is 58121967067. The next prime is 58121967103. The reversal of 58121967072 is 27076912185.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5947 + ... + 340997.

It is an arithmetic number, because the mean of its divisors is an integer number (1723842540).

Almost surely, 2^58121967072 is an apocalyptic number.

58121967072 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 58121967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82744441920).

58121967072 is an abundant number, since it is smaller than the sum of its proper divisors (107366916768).

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

58121967072 is a wasteful number, since it uses less digits than its factorization.

58121967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335216 (or 335208 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 58121967072 in words is "fifty-eight billion, one hundred twenty-one million, nine hundred sixty-seven thousand, seventy-two".