29785237056 has 441 divisors, whose sum is σ = 96182003089. Its totient is φ = 9145571328.

The previous prime is 29785237021. The next prime is 29785237067. The reversal of 29785237056 is 65073258792.

The square root of 29785237056 is 172584.

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

It can be written as a sum of positive squares in only one way, i.e., 23189198400 + 6596038656 = 152280^2 + 81216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29785236993 and 29785237011.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 633728425 + ... + 633728471.

Almost surely, 2^29785237056 is an apocalyptic number.

29785237056 is the 172584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29785237056

29785237056 is an abundant number, since it is smaller than the sum of its proper divisors (66396766033).

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

29785237056 is an frugal number, since it uses more digits than its factorization.

29785237056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 29785237056 in words is "twenty-nine billion, seven hundred eighty-five million, two hundred thirty-seven thousand, fifty-six".