29025228960 has 480 divisors, whose sum is σ = 126078809472. Its totient is φ = 6123755520.

The previous prime is 29025228949. The next prime is 29025228977. The reversal of 29025228960 is 6982252092.

29025228960 is a `hidden beast` number, since 290 + 25 + 2 + 289 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1167055 + ... + 1191665.

Almost surely, 2^29025228960 is an apocalyptic number.

29025228960 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 29025228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63039404736).

29025228960 is an abundant number, since it is smaller than the sum of its proper divisors (97053580512).

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

29025228960 is a wasteful number, since it uses less digits than its factorization.

29025228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24658 (or 24641 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 29025228960 in words is "twenty-nine billion, twenty-five million, two hundred twenty-eight thousand, nine hundred sixty".