987676178227200 has 5376 divisors, whose sum is σ = 4806152529408000. Its totient is φ = 194237064806400.

The previous prime is 987676178227157. The next prime is 987676178227223. The reversal of 987676178227200 is 2722871676789.

It is a happy number.

987676178227200 is a `hidden beast` number, since 9 + 8 + 76 + 7 + 61 + 78 + 227 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 978866380296 + ... + 978866381304.

Almost surely, 2^{987676178227200} is an apocalyptic number.

987676178227200 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 987676178227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403076264704000).

987676178227200 is an abundant number, since it is smaller than the sum of its proper divisors (3818476351180800).

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

987676178227200 is a wasteful number, since it uses less digits than its factorization.

987676178227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 987676178227200 in words is "nine hundred eighty-seven trillion, six hundred seventy-six billion, one hundred seventy-eight million, two hundred twenty-seven thousand, two hundred".