29870424000 has 224 divisors, whose sum is σ = 109592059200. Its totient is φ = 7965388800.

The previous prime is 29870423977. The next prime is 29870424019. The reversal of 29870424000 is 42407892.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146856 + ... + 285144.

Almost surely, 2^29870424000 is an apocalyptic number.

29870424000 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 29870424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54796029600).

29870424000 is an abundant number, since it is smaller than the sum of its proper divisors (79721635200).

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

29870424000 is a wasteful number, since it uses less digits than its factorization.

29870424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138325 (or 138299 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 29870424000 in words is "twenty-nine billion, eight hundred seventy million, four hundred twenty-four thousand".