29252228544 has 1260 divisors, whose sum is σ = 120141050040. Its totient is φ = 6949877760.

The previous prime is 29252228479. The next prime is 29252228567. The reversal of 29252228544 is 44582225292.

29252228544 is a `hidden beast` number, since 2 + 9 + 2 + 522 + 2 + 85 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29252228544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1008697522 + ... + 1008697550.

Almost surely, 2^29252228544 is an apocalyptic number.

29252228544 is a gapful number since it is divisible by the number (24) 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 29252228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60070525020).

29252228544 is an abundant number, since it is smaller than the sum of its proper divisors (90888821496).

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

29252228544 is a wasteful number, since it uses less digits than its factorization.

29252228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 29252228544 in words is "twenty-nine billion, two hundred fifty-two million, two hundred twenty-eight thousand, five hundred forty-four".