29985645312000 has 1920 divisors, whose sum is σ = 128333173288320. Its totient is φ = 6822376243200.

The previous prime is 29985645311969. The next prime is 29985645312041. The reversal of 29985645312000 is 21354658992.

29985645312000 is a `hidden beast` number, since 2 + 9 + 9 + 8 + 564 + 53 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48916223694 + ... + 48916224306.

It is an arithmetic number, because the mean of its divisors is an integer number (66840194421).

Almost surely, 2^{29985645312000} is an apocalyptic number.

29985645312000 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 29985645312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64166586644160).

29985645312000 is an abundant number, since it is smaller than the sum of its proper divisors (98347527976320).

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

29985645312000 is an equidigital number, since it uses as much as digits as its factorization.

29985645312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 29985645312000 in words is "twenty-nine trillion, nine hundred eighty-five billion, six hundred forty-five million, three hundred twelve thousand".