29771904128 has 72 divisors (see below), whose sum is σ = 60303613545. Its totient is φ = 14640960000.

The previous prime is 29771904101. The next prime is 29771904133. The reversal of 29771904128 is 82140917792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 20664637504 + 9107266624 = 143752^2 + 95432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=122008.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 197164853 + ... + 197165003.

Almost surely, 2^29771904128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29771904128

29771904128 is an abundant number, since it is smaller than the sum of its proper divisors (30531709417).

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

29771904128 is an frugal number, since it uses more digits than its factorization.

29771904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 50.

Multiplying 29771904128 by its sum of digits (50), we get a square (1488595206400 = 1220080²).

The spelling of 29771904128 in words is "twenty-nine billion, seven hundred seventy-one million, nine hundred four thousand, one hundred twenty-eight".