29485012475520 has 1152 divisors, whose sum is σ = 125506849628160. Its totient is φ = 6337861189632.

The previous prime is 29485012475491. The next prime is 29485012475557. The reversal of 29485012475520 is 2557421058492.

29485012475520 is a `hidden beast` number, since 2 + 9 + 4 + 85 + 0 + 1 + 2 + 4 + 7 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10973207617 + ... + 10973210303.

It is an arithmetic number, because the mean of its divisors is an integer number (108946918080).

Almost surely, 2^{29485012475520} is an apocalyptic number.

29485012475520 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 29485012475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62753424814080).

29485012475520 is an abundant number, since it is smaller than the sum of its proper divisors (96021837152640).

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

29485012475520 is a wasteful number, since it uses less digits than its factorization.

29485012475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 29485012475520 in words is "twenty-nine trillion, four hundred eighty-five billion, twelve million, four hundred seventy-five thousand, five hundred twenty".