29413318111680 has 1792 divisors, whose sum is σ = 107455770132480. Its totient is φ = 6780262809600.

The previous prime is 29413318111627. The next prime is 29413318111699. The reversal of 29413318111680 is 8611181331492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211606605051 + ... + 211606605189.

It is an arithmetic number, because the mean of its divisors is an integer number (59964157440).

Almost surely, 2^{29413318111680} is an apocalyptic number.

29413318111680 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 29413318111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53727885066240).

29413318111680 is an abundant number, since it is smaller than the sum of its proper divisors (78042452020800).

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

29413318111680 is a wasteful number, since it uses less digits than its factorization.

29413318111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 29413318111680 in words is "twenty-nine trillion, four hundred thirteen billion, three hundred eighteen million, one hundred eleven thousand, six hundred eighty".