29271445920 has 432 divisors, whose sum is σ = 109035429048. Its totient is φ = 7144243200.

The previous prime is 29271445919. The next prime is 29271445979. The reversal of 29271445920 is 2954417292.

29271445920 is a `hidden beast` number, since 29 + 27 + 14 + 4 + 592 + 0 = 666.

It is a Cunningham number, because it is equal to 171089²-1.

It can be written as a sum of positive squares in 12 ways, for example, as 9292188816 + 19979257104 = 96396^2 + 141348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15396970 + ... + 15398870.

Almost surely, 2^29271445920 is an apocalyptic number.

29271445920 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 29271445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54517714524).

29271445920 is an abundant number, since it is smaller than the sum of its proper divisors (79763983128).

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

29271445920 is a wasteful number, since it uses less digits than its factorization.

29271445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 29271445920 in words is "twenty-nine billion, two hundred seventy-one million, four hundred forty-five thousand, nine hundred twenty".