58970877768 has 160 divisors (see below), whose sum is σ = 180967232160. Its totient is φ = 17792766720.

The previous prime is 58970877751. The next prime is 58970877781. The reversal of 58970877768 is 86777807985.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 58970877696 and 58970877705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1643071 + ... + 1678577.

It is an arithmetic number, because the mean of its divisors is an integer number (1131045201).

Almost surely, 2^58970877768 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 58970877768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90483616080).

58970877768 is an abundant number, since it is smaller than the sum of its proper divisors (121996354392).

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

58970877768 is a wasteful number, since it uses less digits than its factorization.

58970877768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35769 (or 35756 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 58970877768 in words is "fifty-eight billion, nine hundred seventy million, eight hundred seventy-seven thousand, seven hundred sixty-eight".