29117120256 has 324 divisors, whose sum is σ = 98070609000. Its totient is φ = 8284114944.

The previous prime is 29117120251. The next prime is 29117120293. The reversal of 29117120256 is 65202171192.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29117120256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29117120251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39400335 + ... + 39401073.

Almost surely, 2^29117120256 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 29117120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49035304500).

29117120256 is an abundant number, since it is smaller than the sum of its proper divisors (68953488744).

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

29117120256 is a wasteful number, since it uses less digits than its factorization.

29117120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 29117120256 in words is "twenty-nine billion, one hundred seventeen million, one hundred twenty thousand, two hundred fifty-six".