29420184960 has 384 divisors, whose sum is σ = 106454144160. Its totient is φ = 7763558400.

The previous prime is 29420184949. The next prime is 29420184979. The reversal of 29420184960 is 6948102492.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×29420184960² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 15706584 + ... + 15708456.

Almost surely, 2^29420184960 is an apocalyptic number.

29420184960 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 29420184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53227072080).

29420184960 is an abundant number, since it is smaller than the sum of its proper divisors (77033959200).

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

29420184960 is a wasteful number, since it uses less digits than its factorization.

29420184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 29420184960 in words is "twenty-nine billion, four hundred twenty million, one hundred eighty-four thousand, nine hundred sixty".