29485052572560 has 320 divisors, whose sum is σ = 103624808421120. Its totient is φ = 6875248066560.

The previous prime is 29485052572501. The next prime is 29485052572631. The reversal of 29485052572560 is 6527525058492.

29485052572560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 29485052572494 and 29485052572503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223586432 + ... + 1223610528.

It is an arithmetic number, because the mean of its divisors is an integer number (323827526316).

Almost surely, 2^{29485052572560} is an apocalyptic number.

29485052572560 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 29485052572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51812404210560).

29485052572560 is an abundant number, since it is smaller than the sum of its proper divisors (74139755848560).

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

29485052572560 is a wasteful number, since it uses less digits than its factorization.

29485052572560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44786 (or 44780 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 60.

The spelling of 29485052572560 in words is "twenty-nine trillion, four hundred eighty-five billion, fifty-two million, five hundred seventy-two thousand, five hundred sixty".