58734448400 has 60 divisors (see below), whose sum is σ = 141316772112. Its totient is φ = 23459272320.

The previous prime is 58734448397. The next prime is 58734448417. The reversal of 58734448400 is 484443785.

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 11 ways as a sum of consecutive naturals, for example, 165707 + ... + 380693.

Almost surely, 2^58734448400 is an apocalyptic number.

58734448400 is a gapful number since it is divisible by the number (50) 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 58734448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70658386056).

58734448400 is an abundant number, since it is smaller than the sum of its proper divisors (82582323712).

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

58734448400 is a wasteful number, since it uses less digits than its factorization.

58734448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215688 (or 215677 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 58734448400 in words is "fifty-eight billion, seven hundred thirty-four million, four hundred forty-eight thousand, four hundred".