29928471552000 has 672 divisors, whose sum is σ = 123309443260224. Its totient is φ = 6840778752000.

The previous prime is 29928471551971. The next prime is 29928471552053. The reversal of 29928471552000 is 25517482992.

29928471552000 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 84 + 7 + 1 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64280040 + ... + 64743960.

Almost surely, 2^{29928471552000} is an apocalyptic number.

29928471552000 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 29928471552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61654721630112).

29928471552000 is an abundant number, since it is smaller than the sum of its proper divisors (93380971708224).

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

29928471552000 is an equidigital number, since it uses as much as digits as its factorization.

29928471552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463975 (or 463938 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 29928471552000 in words is "twenty-nine trillion, nine hundred twenty-eight billion, four hundred seventy-one million, five hundred fifty-two thousand".