29870086400 has 432 divisors, whose sum is σ = 94133558400. Its totient is φ = 9302630400.

The previous prime is 29870086387. The next prime is 29870086423. The reversal of 29870086400 is 468007892.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24146582 + ... + 24147818.

Almost surely, 2^29870086400 is an apocalyptic number.

29870086400 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 29870086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47066779200).

29870086400 is an abundant number, since it is smaller than the sum of its proper divisors (64263472000).

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

29870086400 is a wasteful number, since it uses less digits than its factorization.

29870086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 29870086400 in words is "twenty-nine billion, eight hundred seventy million, eighty-six thousand, four hundred".