58740506100 has 144 divisors (see below), whose sum is σ = 189377879040. Its totient is φ = 15619507200.

The previous prime is 58740506093. The next prime is 58740506101. The reversal of 58740506100 is 160504785.

58740506100 is a `hidden beast` number, since 5 + 8 + 7 + 40 + 506 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58740506101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922285 + ... + 983915.

It is an arithmetic number, because the mean of its divisors is an integer number (1315124160).

Almost surely, 2^58740506100 is an apocalyptic number.

58740506100 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 58740506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94688939520).

58740506100 is an abundant number, since it is smaller than the sum of its proper divisors (130637372940).

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

58740506100 is a wasteful number, since it uses less digits than its factorization.

58740506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62007 (or 61994 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 58740506100 in words is "fifty-eight billion, seven hundred forty million, five hundred six thousand, one hundred".