29650628480 has 128 divisors (see below), whose sum is σ = 80689996800. Its totient is φ = 10313205760.

The previous prime is 29650628461. The next prime is 29650628509. The reversal of 29650628480 is 8482605692.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×29650628480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70361 + ... + 253479.

It is an arithmetic number, because the mean of its divisors is an integer number (630390600).

Almost surely, 2^29650628480 is an apocalyptic number.

29650628480 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 29650628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40344998400).

29650628480 is an abundant number, since it is smaller than the sum of its proper divisors (51039368320).

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

29650628480 is a wasteful number, since it uses less digits than its factorization.

29650628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183172 (or 183160 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 29650628480 in words is "twenty-nine billion, six hundred fifty million, six hundred twenty-eight thousand, four hundred eighty".