29285656960 has 256 divisors, whose sum is σ = 83122329600. Its totient is φ = 9653575680.

The previous prime is 29285656921. The next prime is 29285656963. The reversal of 29285656960 is 6965658292.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 29285656895 and 29285656904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29285656963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55995259 + ... + 55995781.

It is an arithmetic number, because the mean of its divisors is an integer number (324696600).

Almost surely, 2^29285656960 is an apocalyptic number.

29285656960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29285656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41561164800).

29285656960 is an abundant number, since it is smaller than the sum of its proper divisors (53836672640).

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

29285656960 is a wasteful number, since it uses less digits than its factorization.

29285656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 29285656960 in words is "twenty-nine billion, two hundred eighty-five million, six hundred fifty-six thousand, nine hundred sixty".