29206121280 has 448 divisors, whose sum is σ = 111195721728. Its totient is φ = 6350192640.

The previous prime is 29206121251. The next prime is 29206121323. The reversal of 29206121280 is 8212160292.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36012075 + ... + 36012885.

It is an arithmetic number, because the mean of its divisors is an integer number (248204736).

Almost surely, 2^29206121280 is an apocalyptic number.

29206121280 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 29206121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55597860864).

29206121280 is an abundant number, since it is smaller than the sum of its proper divisors (81989600448).

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

29206121280 is a wasteful number, since it uses less digits than its factorization.

29206121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 29206121280 in words is "twenty-nine billion, two hundred six million, one hundred twenty-one thousand, two hundred eighty".