988200278100 has 288 divisors, whose sum is σ = 3636429753600. Its totient is φ = 225519206400.

The previous prime is 988200278081. The next prime is 988200278123. The reversal of 988200278100 is 1872002889.

It is a happy number.

It is a super-2 number, since 2×988200278100² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12074116 + ... + 12155684.

It is an arithmetic number, because the mean of its divisors is an integer number (12626492200).

Almost surely, 2^988200278100 is an apocalyptic number.

988200278100 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 988200278100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818214876800).

988200278100 is an abundant number, since it is smaller than the sum of its proper divisors (2648229475500).

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

988200278100 is a wasteful number, since it uses less digits than its factorization.

988200278100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82240 (or 82227 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 988200278100 in words is "nine hundred eighty-eight billion, two hundred million, two hundred seventy-eight thousand, one hundred".