29987020800 has 1344 divisors, whose sum is σ = 131640681600. Its totient is φ = 6606028800.

The previous prime is 29987020747. The next prime is 29987020801. The reversal of 29987020800 is 802078992.

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

It is not an unprimeable number, because it can be changed into a prime (29987020801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034035186 + ... + 1034035214.

Almost surely, 2^29987020800 is an apocalyptic number.

29987020800 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 29987020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65820340800).

29987020800 is an abundant number, since it is smaller than the sum of its proper divisors (101653660800).

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

29987020800 is a wasteful number, since it uses less digits than its factorization.

29987020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 29987020800 in words is "twenty-nine billion, nine hundred eighty-seven million, twenty thousand, eight hundred".