29260611072 has 1200 divisors, whose sum is σ = 118534600800. Its totient is φ = 7153090560.

The previous prime is 29260611041. The next prime is 29260611091. The reversal of 29260611072 is 27011606292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1721212408 + ... + 1721212424.

It is an arithmetic number, because the mean of its divisors is an integer number (98778834).

Almost surely, 2^29260611072 is an apocalyptic number.

29260611072 is a gapful number since it is divisible by the number (22) 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 29260611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59267300400).

29260611072 is an abundant number, since it is smaller than the sum of its proper divisors (89273989728).

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

29260611072 is an equidigital number, since it uses as much as digits as its factorization.

29260611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 29260611072 in words is "twenty-nine billion, two hundred sixty million, six hundred eleven thousand, seventy-two".