29640255480000 has 3360 divisors, whose sum is σ = 132886076843520. Its totient is φ = 6459678720000.

The previous prime is 29640255479993. The next prime is 29640255480013. The reversal of 29640255480000 is 8455204692.

29640255480000 is a `hidden beast` number, since 2 + 96 + 4 + 0 + 2 + 554 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 41805719646 + ... + 41805720354.

It is an arithmetic number, because the mean of its divisors is an integer number (39549427632).

Almost surely, 2^{29640255480000} is an apocalyptic number.

29640255480000 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 29640255480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66443038421760).

29640255480000 is an abundant number, since it is smaller than the sum of its proper divisors (103245821363520).

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

29640255480000 is a wasteful number, since it uses less digits than its factorization.

29640255480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 29640255480000 in words is "twenty-nine trillion, six hundred forty billion, two hundred fifty-five million, four hundred eighty thousand".