29081026038960 has 960 divisors, whose sum is σ = 124516594713600. Its totient is φ = 6094049955840.

The previous prime is 29081026038949. The next prime is 29081026038989. The reversal of 29081026038960 is 6983062018092.

29081026038960 is a `hidden beast` number, since 29 + 0 + 8 + 1 + 0 + 2 + 603 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29081026038897 and 29081026038906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276023412 + ... + 276128748.

It is an arithmetic number, because the mean of its divisors is an integer number (129704786160).

Almost surely, 2^{29081026038960} is an apocalyptic number.

29081026038960 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 29081026038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62258297356800).

29081026038960 is an abundant number, since it is smaller than the sum of its proper divisors (95435568674640).

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

29081026038960 is a wasteful number, since it uses less digits than its factorization.

29081026038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105447 (or 105404 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 29081026038960 in words is "twenty-nine trillion, eighty-one billion, twenty-six million, thirty-eight thousand, nine hundred sixty".