29281065260640 has 192 divisors, whose sum is σ = 93767156340480. Its totient is φ = 7679657871360.

The previous prime is 29281065260591. The next prime is 29281065260641. The reversal of 29281065260640 is 4606256018292.

It is a super-2 number, since 2×29281065260640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29281065260641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5088270 + ... + 9189810.

It is an arithmetic number, because the mean of its divisors is an integer number (488370605940).

Almost surely, 2^{29281065260640} is an apocalyptic number.

29281065260640 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 29281065260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46883578170240).

29281065260640 is an abundant number, since it is smaller than the sum of its proper divisors (64486091079840).

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

29281065260640 is a wasteful number, since it uses less digits than its factorization.

29281065260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101805 (or 4101797 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 29281065260640 in words is "twenty-nine trillion, two hundred eighty-one billion, sixty-five million, two hundred sixty thousand, six hundred forty".