987961954560 has 288 divisors, whose sum is σ = 3607256432640. Its totient is φ = 225745035264.

The previous prime is 987961954559. The next prime is 987961954561. The reversal of 987961954560 is 65459169789.

It is an interprime number because it is at equal distance from previous prime (987961954559) and next prime (987961954561).

It is not an unprimeable number, because it can be changed into a prime (987961954561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147917301 + ... + 147923979.

Almost surely, 2^987961954560 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 987961954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803628216320).

987961954560 is an abundant number, since it is smaller than the sum of its proper divisors (2619294478080).

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

987961954560 is a wasteful number, since it uses less digits than its factorization.

987961954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 987961954560 in words is "nine hundred eighty-seven billion, nine hundred sixty-one million, nine hundred fifty-four thousand, five hundred sixty".