88536002500 has 135 divisors (see below), whose sum is σ = 213205668753. Its totient is φ = 32135400000.

The previous prime is 88536002461. The next prime is 88536002509. The reversal of 88536002500 is 520063588.

The square root of 88536002500 is 297550.

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

It can be written as a sum of positive squares in 7 ways, for example, as 75226227076 + 13309775424 = 274274^2 + 115368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 88536002500.

It is not an unprimeable number, because it can be changed into a prime (88536002509) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 163652230 + ... + 163652770.

Almost surely, 2^88536002500 is an apocalyptic number.

88536002500 is the 297550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88536002500

88536002500 is an abundant number, since it is smaller than the sum of its proper divisors (124669666253).

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

88536002500 is an equidigital number, since it uses as much as digits as its factorization.

88536002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 88536002500 in words is "eighty-eight billion, five hundred thirty-six million, two thousand, five hundred".