987897319200 has 720 divisors, whose sum is σ = 4065793522560. Its totient is φ = 231227136000.

The previous prime is 987897319183. The next prime is 987897319207. The reversal of 987897319200 is 2913798789.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×987897319200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (987897319207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20647305 + ... + 20695095.

It is an arithmetic number, because the mean of its divisors is an integer number (5646935448).

Almost surely, 2^987897319200 is an apocalyptic number.

987897319200 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 987897319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032896761280).

987897319200 is an abundant number, since it is smaller than the sum of its proper divisors (3077896203360).

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

987897319200 is a wasteful number, since it uses less digits than its factorization.

987897319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47863 (or 47841 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 987897319200 in words is "nine hundred eighty-seven billion, eight hundred ninety-seven million, three hundred nineteen thousand, two hundred".