32490681372500 has 180 divisors, whose sum is σ = 77134642685100. Its totient is φ = 11965659264000.

The previous prime is 32490681372463. The next prime is 32490681372557. The reversal of 32490681372500 is 527318609423.

It can be written as a sum of positive squares in 30 ways, for example, as 21239728560964 + 11250952811536 = 4608658^2 + 3354244^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 164253656 + ... + 164451344.

It is an arithmetic number, because the mean of its divisors is an integer number (428525792695).

It is a 2-persistent number, because it is pandigital, and so is 2⋅32490681372500 = 64981362745000, but 3⋅32490681372500 = 97472044117500 is not.

Almost surely, 2^{32490681372500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32490681372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38567321342550).

32490681372500 is an abundant number, since it is smaller than the sum of its proper divisors (44643961312600).

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

32490681372500 is a wasteful number, since it uses less digits than its factorization.

32490681372500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198128 (or 198098 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 32490681372500 in words is "thirty-two trillion, four hundred ninety billion, six hundred eighty-one million, three hundred seventy-two thousand, five hundred".