29963520000 has 900 divisors, whose sum is σ = 118803349665. Its totient is φ = 7520256000.

The previous prime is 29963519987. The next prime is 29963520047. The reversal of 29963520000 is 2536992.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 4064256 + 29959455744 = 2016^2 + 173088^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=122400.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1762559992 + ... + 1762560008.

Almost surely, 2^29963520000 is an apocalyptic number.

29963520000 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 29963520000

29963520000 is an abundant number, since it is smaller than the sum of its proper divisors (88839829665).

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

29963520000 is an frugal number, since it uses more digits than its factorization.

29963520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 29963520000 in words is "twenty-nine billion, nine hundred sixty-three million, five hundred twenty thousand".