987297854400 has 2520 divisors, whose sum is σ = 4470550428960. Its totient is φ = 212038041600.

The previous prime is 987297854399. The next prime is 987297854423. The reversal of 987297854400 is 4458792789.

987297854400 is a `hidden beast` number, since 9 + 87 + 2 + 9 + 7 + 8 + 544 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5911963117 + ... + 5911963283.

It is an arithmetic number, because the mean of its divisors is an integer number (1774027948).

Almost surely, 2^987297854400 is an apocalyptic number.

987297854400 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 987297854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235275214480).

987297854400 is an abundant number, since it is smaller than the sum of its proper divisors (3483252574560).

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

987297854400 is a wasteful number, since it uses less digits than its factorization.

987297854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 987297854400 in words is "nine hundred eighty-seven billion, two hundred ninety-seven million, eight hundred fifty-four thousand, four hundred".