988055510400 has 2304 divisors, whose sum is σ = 4489169817600. Its totient is φ = 201852518400.

The previous prime is 988055510353. The next prime is 988055510437. The reversal of 988055510400 is 4015550889.

It is a happy number.

988055510400 is a `hidden beast` number, since 9 + 8 + 80 + 55 + 510 + 4 + 0 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6293347122 + ... + 6293347278.

It is an arithmetic number, because the mean of its divisors is an integer number (1948424400).

Almost surely, 2^988055510400 is an apocalyptic number.

988055510400 is a gapful number since it is divisible by the number (90) 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 988055510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244584908800).

988055510400 is an abundant number, since it is smaller than the sum of its proper divisors (3501114307200).

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

988055510400 is a wasteful number, since it uses less digits than its factorization.

988055510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 988055510400 in words is "nine hundred eighty-eight billion, fifty-five million, five hundred ten thousand, four hundred".