58782002500 has 135 divisors (see below), whose sum is σ = 139567310883. Its totient is φ = 21645936000.

The previous prime is 58782002449. The next prime is 58782002509. The reversal of 58782002500 is 520028785.

The square root of 58782002500 is 242450.

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

It can be written as a sum of positive squares in 22 ways, for example, as 38335290436 + 20446712064 = 195794^2 + 142992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 58782002500.

It is not an unprimeable number, because it can be changed into a prime (58782002509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157592314 + ... + 157592686.

Almost surely, 2^58782002500 is an apocalyptic number.

58782002500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58782002500 is the 242450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58782002500

58782002500 is an abundant number, since it is smaller than the sum of its proper divisors (80785308383).

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

58782002500 is an equidigital number, since it uses as much as digits as its factorization.

58782002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 58782002500 in words is "fifty-eight billion, seven hundred eighty-two million, two thousand, five hundred".