988270729600 has 1152 divisors, whose sum is σ = 3226563486720. Its totient is φ = 295568179200.

The previous prime is 988270729577. The next prime is 988270729669. The reversal of 988270729600 is 6927072889.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5917788717 + ... + 5917788883.

It is an arithmetic number, because the mean of its divisors is an integer number (2800836360).

Almost surely, 2^988270729600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988270729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613281743360).

988270729600 is an abundant number, since it is smaller than the sum of its proper divisors (2238292757120).

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

988270729600 is a wasteful number, since it uses less digits than its factorization.

988270729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 988270729600 in words is "nine hundred eighty-eight billion, two hundred seventy million, seven hundred twenty-nine thousand, six hundred".