987132994560 has 352 divisors, whose sum is σ = 3517832056320. Its totient is φ = 262504710144.

The previous prime is 987132994517. The next prime is 987132994579. The reversal of 987132994560 is 65499231789.

987132994560 is a `hidden beast` number, since 9 + 87 + 13 + 2 + 99 + 456 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50724352 + ... + 50743808.

It is a 1-persistent number, because it is pandigital, but 2⋅987132994560 = 1974265989120 is not.

Almost surely, 2^987132994560 is an apocalyptic number.

987132994560 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 987132994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758916028160).

987132994560 is an abundant number, since it is smaller than the sum of its proper divisors (2530699061760).

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

987132994560 is a wasteful number, since it uses less digits than its factorization.

987132994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19858 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 987132994560 in words is "nine hundred eighty-seven billion, one hundred thirty-two million, nine hundred ninety-four thousand, five hundred sixty".