29256297396480 has 1152 divisors, whose sum is σ = 130096323624960. Its totient is φ = 6048263208960.

The previous prime is 29256297396479. The next prime is 29256297396499. The reversal of 29256297396480 is 8469379265292.

It is a happy number.

29256297396480 is a `hidden beast` number, since 2 + 9 + 2 + 56 + 2 + 9 + 7 + 3 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29256297396399 and 29256297396408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 524212737 + ... + 524268543.

It is an arithmetic number, because the mean of its divisors is an integer number (112930836480).

Almost surely, 2^{29256297396480} is an apocalyptic number.

29256297396480 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 29256297396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65048161812480).

29256297396480 is an abundant number, since it is smaller than the sum of its proper divisors (100840026228480).

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

29256297396480 is a wasteful number, since it uses less digits than its factorization.

29256297396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56052 (or 56032 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 29256297396480 in words is "twenty-nine trillion, two hundred fifty-six billion, two hundred ninety-seven million, three hundred ninety-six thousand, four hundred eighty".