29875890560 has 64 divisors (see below), whose sum is σ = 71559936000. Its totient is φ = 11927285760.

The previous prime is 29875890547. The next prime is 29875890563. The reversal of 29875890560 is 6509857892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×29875890560² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29875890560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29875890563) 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 7 ways as a sum of consecutive naturals, for example, 288641 + ... + 378239.

It is an arithmetic number, because the mean of its divisors is an integer number (1118124000).

Almost surely, 2^29875890560 is an apocalyptic number.

29875890560 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 29875890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35779968000).

29875890560 is an abundant number, since it is smaller than the sum of its proper divisors (41684045440).

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

29875890560 is an equidigital number, since it uses as much as digits as its factorization.

29875890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90139 (or 90127 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 59.

The spelling of 29875890560 in words is "twenty-nine billion, eight hundred seventy-five million, eight hundred ninety thousand, five hundred sixty".