987963197760 has 3024 divisors, whose sum is σ = 4770691877952. Its totient is φ = 185330073600.

The previous prime is 987963197729. The next prime is 987963197773. The reversal of 987963197760 is 67791369789.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 22975888299 + ... + 22975888341.

It is an arithmetic number, because the mean of its divisors is an integer number (1577609748).

Almost surely, 2^987963197760 is an apocalyptic number.

987963197760 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 987963197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385345938976).

987963197760 is an abundant number, since it is smaller than the sum of its proper divisors (3782728680192).

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

987963197760 is a wasteful number, since it uses less digits than its factorization.

987963197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 987963197760 in words is "nine hundred eighty-seven billion, nine hundred sixty-three million, one hundred ninety-seven thousand, seven hundred sixty".