29939995008000 has 3168 divisors, whose sum is σ = 139981578467328. Its totient is φ = 6207860736000.

The previous prime is 29939995007999. The next prime is 29939995008061. The reversal of 29939995008000 is 80059993992.

29939995008000 is a `hidden beast` number, since 2 + 9 + 9 + 39 + 99 + 500 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64665215769 + ... + 64665216231.

Almost surely, 2^{29939995008000} is an apocalyptic number.

29939995008000 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 29939995008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69990789233664).

29939995008000 is an abundant number, since it is smaller than the sum of its proper divisors (110041583459328).

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

29939995008000 is an frugal number, since it uses more digits than its factorization.

29939995008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 29939995008000 in words is "twenty-nine trillion, nine hundred thirty-nine billion, nine hundred ninety-five million, eight thousand".