29782941890625 has 945 divisors, whose sum is σ = 71602545448343. Its totient is φ = 12377326500000.

The previous prime is 29782941890591. The next prime is 29782941890629. The reversal of 29782941890625 is 52609814928792.

The square root of 29782941890625 is 5457375.

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

29782941890625 is a `hidden beast` number, since 29 + 7 + 82 + 9 + 418 + 90 + 6 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26092716258609 + 3690225632016 = 5108103^2 + 1920996^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is not a de Polignac number, because 29782941890625 - 2²⁵ = 29782908336193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29782941890629) by changing a digit.

It is a polite number, since it can be written in 944 ways as a sum of consecutive naturals, for example, 2707540171870 + ... + 2707540171880.

Almost surely, 2^{29782941890625} is an apocalyptic number.

29782941890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29782941890625 is the 5457375-th square number.

29782941890625 is the 2728688-th centered octagonal number.

It is an amenable number.

29782941890625 is an abundant number, since it is smaller than the sum of its proper divisors (41819603557718).

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

29782941890625 is an frugal number, since it uses more digits than its factorization.

29782941890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 29782941890625 in words is "twenty-nine trillion, seven hundred eighty-two billion, nine hundred forty-one million, eight hundred ninety thousand, six hundred twenty-five".