29220460738560 has 6912 divisors, whose sum is σ = 149752491033600. Its totient is φ = 5179655061504.

The previous prime is 29220460738517. The next prime is 29220460738613. The reversal of 29220460738560 is 6583706402292.

29220460738560 is a `hidden beast` number, since 2 + 9 + 2 + 2 + 0 + 4 + 6 + 0 + 73 + 8 + 560 = 666.

It is a super-3 number, since 3×29220460738560³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29220460738497 and 29220460738506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 436126279647 + ... + 436126279713.

It is an arithmetic number, because the mean of its divisors is an integer number (21665580300).

Almost surely, 2^{29220460738560} is an apocalyptic number.

29220460738560 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 29220460738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74876245516800).

29220460738560 is an abundant number, since it is smaller than the sum of its proper divisors (120532030295040).

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

29220460738560 is a wasteful number, since it uses less digits than its factorization.

29220460738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 29220460738560 in words is "twenty-nine trillion, two hundred twenty billion, four hundred sixty million, seven hundred thirty-eight thousand, five hundred sixty".