58461580776 has 128 divisors (see below), whose sum is σ = 155180188800. Its totient is φ = 18302238720.

The previous prime is 58461580759. The next prime is 58461580777. The reversal of 58461580776 is 67708516485.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (58461580777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27304666 + ... + 27306806.

It is an arithmetic number, because the mean of its divisors is an integer number (1212345225).

Almost surely, 2^58461580776 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 58461580776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77590094400).

58461580776 is an abundant number, since it is smaller than the sum of its proper divisors (96718608024).

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

58461580776 is a wasteful number, since it uses less digits than its factorization.

58461580776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 58461580776 in words is "fifty-eight billion, four hundred sixty-one million, five hundred eighty thousand, seven hundred seventy-six".