29131468800 has 1248 divisors, whose sum is σ = 124807249920. Its totient is φ = 5839257600.

The previous prime is 29131468759. The next prime is 29131468801. The reversal of 29131468800 is 886413192.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29131468801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939724785 + ... + 939724815.

Almost surely, 2^29131468800 is an apocalyptic number.

29131468800 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 29131468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62403624960).

29131468800 is an abundant number, since it is smaller than the sum of its proper divisors (95675781120).

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

29131468800 is a wasteful number, since it uses less digits than its factorization.

29131468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 29131468800 in words is "twenty-nine billion, one hundred thirty-one million, four hundred sixty-eight thousand, eight hundred".