987417472800 has 288 divisors, whose sum is σ = 3580834811904. Its totient is φ = 234280576000.

The previous prime is 987417472799. The next prime is 987417472843. The reversal of 987417472800 is 8274714789.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842905 + ... + 1638695.

It is an arithmetic number, because the mean of its divisors is an integer number (12433454208).

Almost surely, 2^987417472800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987417472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790417405952).

987417472800 is an abundant number, since it is smaller than the sum of its proper divisors (2593417339104).

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

987417472800 is a wasteful number, since it uses less digits than its factorization.

987417472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795872 (or 795859 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 57.

The spelling of 987417472800 in words is "nine hundred eighty-seven billion, four hundred seventeen million, four hundred seventy-two thousand, eight hundred".