32783525976100 has 81 divisors (see below), whose sum is σ = 71864260851481. Its totient is φ = 12981284368000.

The previous prime is 32783525976079. The next prime is 32783525976107. The reversal of 32783525976100 is 167952538723.

It is a happy number.

The square root of 32783525976100 is 5725690.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10878954402276 + 21904571573824 = 3298326^2 + 4680232^2 .

It is a super-3 number, since 3×32783525976100³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32783525976107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5782944066 + ... + 5782949734.

Almost surely, 2^{32783525976100} is an apocalyptic number.

32783525976100 is the 5725690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32783525976100

32783525976100 is an abundant number, since it is smaller than the sum of its proper divisors (39080734875381).

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

32783525976100 is an frugal number, since it uses more digits than its factorization.

32783525976100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 32783525976100 in words is "thirty-two trillion, seven hundred eighty-three billion, five hundred twenty-five million, nine hundred seventy-six thousand, one hundred".