29257994680 has 128 divisors (see below), whose sum is σ = 69092352000. Its totient is φ = 11137305600.

The previous prime is 29257994671. The next prime is 29257994713. The reversal of 29257994680 is 8649975292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27890796 + ... + 27891844.

It is an arithmetic number, because the mean of its divisors is an integer number (539784000).

Almost surely, 2^29257994680 is an apocalyptic number.

29257994680 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 29257994680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176000).

29257994680 is an abundant number, since it is smaller than the sum of its proper divisors (39834357320).

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

29257994680 is a wasteful number, since it uses less digits than its factorization.

29257994680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 29257994680 in words is "twenty-nine billion, two hundred fifty-seven million, nine hundred ninety-four thousand, six hundred eighty".