58801400100 has 243 divisors, whose sum is σ = 188865067027. Its totient is φ = 15302088960.

The previous prime is 58801400071. The next prime is 58801400107. The reversal of 58801400100 is 100410885.

The square root of 58801400100 is 242490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 171557604 + 58629842496 = 13098^2 + 242136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58801400107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 429207232 + ... + 429207368.

Almost surely, 2^58801400100 is an apocalyptic number.

58801400100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58801400100 is the 242490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58801400100

58801400100 is an abundant number, since it is smaller than the sum of its proper divisors (130063666927).

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

58801400100 is a wasteful number, since it uses less digits than its factorization.

58801400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 58801400100 its reverse (100410885), we get a palindrome (58901810985).

The spelling of 58801400100 in words is "fifty-eight billion, eight hundred one million, four hundred thousand, one hundred".