29131834680 has 480 divisors, whose sum is σ = 107471493360. Its totient is φ = 7073464320.

The previous prime is 29131834663. The next prime is 29131834691. The reversal of 29131834680 is 8643813192.

29131834680 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 183 + 468 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 45447160 + ... + 45447800.

Almost surely, 2^29131834680 is an apocalyptic number.

29131834680 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 29131834680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53735746680).

29131834680 is an abundant number, since it is smaller than the sum of its proper divisors (78339658680).

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

29131834680 is a wasteful number, since it uses less digits than its factorization.

29131834680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 747 counting only the distinct ones).

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

The spelling of 29131834680 in words is "twenty-nine billion, one hundred thirty-one million, eight hundred thirty-four thousand, six hundred eighty".