29878917120 has 960 divisors, whose sum is σ = 122866904160. Its totient is φ = 6879707136.

The previous prime is 29878917113. The next prime is 29878917161. The reversal of 29878917120 is 2171987892.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183306159 + ... + 183306321.

Almost surely, 2^29878917120 is an apocalyptic number.

29878917120 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 29878917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61433452080).

29878917120 is an abundant number, since it is smaller than the sum of its proper divisors (92987987040).

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

29878917120 is a wasteful number, since it uses less digits than its factorization.

29878917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 29878917120 in words is "twenty-nine billion, eight hundred seventy-eight million, nine hundred seventeen thousand, one hundred twenty".