987883142400 has 1944 divisors, whose sum is σ = 4654902942144. Its totient is φ = 194155315200.

The previous prime is 987883142293. The next prime is 987883142417. The reversal of 987883142400 is 4241388789.

It is a happy number.

987883142400 is a `hidden beast` number, since 9 + 8 + 7 + 88 + 314 + 240 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1601106892 + ... + 1601107508.

Almost surely, 2^987883142400 is an apocalyptic number.

987883142400 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 987883142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327451471072).

987883142400 is an abundant number, since it is smaller than the sum of its proper divisors (3667019799744).

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

987883142400 is a wasteful number, since it uses less digits than its factorization.

987883142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 987883142400 in words is "nine hundred eighty-seven billion, eight hundred eighty-three million, one hundred forty-two thousand, four hundred".