58128800401 has 24 divisors (see below), whose sum is σ = 68579567784. Its totient is φ = 49117743360.

The previous prime is 58128800371. The next prime is 58128800413. The reversal of 58128800401 is 10400882185.

It is a happy number.

58128800401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9992001600 + 48136798801 = 99960^2 + 219401^2 .

It is not a de Polignac number, because 58128800401 - 2⁷ = 58128800273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58128803401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13665591 + ... + 13669843.

It is an arithmetic number, because the mean of its divisors is an integer number (2857481991).

Almost surely, 2^58128800401 is an apocalyptic number.

It is an amenable number.

58128800401 is a deficient number, since it is larger than the sum of its proper divisors (10450767383).

58128800401 is a wasteful number, since it uses less digits than its factorization.

58128800401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 58128800401 in words is "fifty-eight billion, one hundred twenty-eight million, eight hundred thousand, four hundred one".