29759010064 has 135 divisors (see below), whose sum is σ = 68871031983. Its totient is φ = 12420576000.

The previous prime is 29759010041. The next prime is 29759010067. The reversal of 29759010064 is 46001095792.

It is a happy number.

The square root of 29759010064 is 172508.

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 9659664 + 29749350400 = 3108^2 + 172480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29759010064.

It is not an unprimeable number, because it can be changed into a prime (29759010067) 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, 294643614 + ... + 294643714.

Almost surely, 2^29759010064 is an apocalyptic number.

29759010064 is the 172508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29759010064

29759010064 is an abundant number, since it is smaller than the sum of its proper divisors (39112021919).

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

29759010064 is an equidigital number, since it uses as much as digits as its factorization.

29759010064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 29759010064 in words is "twenty-nine billion, seven hundred fifty-nine million, ten thousand, sixty-four".