29870413020 has 576 divisors, whose sum is σ = 110250556416. Its totient is φ = 6404935680.

The previous prime is 29870413003. The next prime is 29870413021. The reversal of 29870413020 is 2031407892.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29870413021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228018355 + ... + 228018485.

It is an arithmetic number, because the mean of its divisors is an integer number (191407216).

Almost surely, 2^29870413020 is an apocalyptic number.

29870413020 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 29870413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55125278208).

29870413020 is an abundant number, since it is smaller than the sum of its proper divisors (80380143396).

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

29870413020 is a wasteful number, since it uses less digits than its factorization.

29870413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 29870413020 in words is "twenty-nine billion, eight hundred seventy million, four hundred thirteen thousand, twenty".