29488250880000 has 2000 divisors, whose sum is σ = 121287856555800. Its totient is φ = 7077888000000.

The previous prime is 29488250879953. The next prime is 29488250880079. The reversal of 29488250880000 is 8805288492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 291962879950 + ... + 291962880050.

Almost surely, 2^{29488250880000} is an apocalyptic number.

29488250880000 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 29488250880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60643928277900).

29488250880000 is an abundant number, since it is smaller than the sum of its proper divisors (91799605675800).

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

29488250880000 is an frugal number, since it uses more digits than its factorization.

29488250880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 29488250880000 in words is "twenty-nine trillion, four hundred eighty-eight billion, two hundred fifty million, eight hundred eighty thousand".