988272230400 has 1536 divisors, whose sum is σ = 4477938393600. Its totient is φ = 208089907200.

The previous prime is 988272230371. The next prime is 988272230401. The reversal of 988272230400 is 4032272889.

988272230400 is a `hidden beast` number, since 9 + 8 + 8 + 2 + 7 + 2 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988272230401) 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, 2012774155 + ... + 2012774645.

It is an arithmetic number, because the mean of its divisors is an integer number (2915324475).

Almost surely, 2^988272230400 is an apocalyptic number.

988272230400 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 988272230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238969196800).

988272230400 is an abundant number, since it is smaller than the sum of its proper divisors (3489666163200).

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

988272230400 is a wasteful number, since it uses less digits than its factorization.

988272230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 988272230400 in words is "nine hundred eighty-eight billion, two hundred seventy-two million, two hundred thirty thousand, four hundred".