35455712980900 has 81 divisors (see below), whose sum is σ = 80432615586211. Its totient is φ = 13565140103680.

The previous prime is 35455712980843. The next prime is 35455712980907. The reversal of 35455712980900 is 908921755453.

The square root of 35455712980900 is 5954470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6209854673764 + 29245858307136 = 2491958^2 + 5407944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35455712980907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1369515156 + ... + 1369541044.

Almost surely, 2^{35455712980900} is an apocalyptic number.

35455712980900 is the 5954470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35455712980900

35455712980900 is an abundant number, since it is smaller than the sum of its proper divisors (44976902605311).

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

35455712980900 is an frugal number, since it uses more digits than its factorization.

35455712980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51838 (or 25919 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 35455712980900 in words is "thirty-five trillion, four hundred fifty-five billion, seven hundred twelve million, nine hundred eighty thousand, nine hundred".