987279777792 has 1568 divisors, whose sum is σ = 3919400766720. Its totient is φ = 240789749760.

The previous prime is 987279777763. The next prime is 987279777871. The reversal of 987279777792 is 297777972789.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8736989128 + ... + 8736989240.

Almost surely, 2^987279777792 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 987279777792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959700383360).

987279777792 is an abundant number, since it is smaller than the sum of its proper divisors (2932120988928).

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

987279777792 is a wasteful number, since it uses less digits than its factorization.

987279777792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its digits is 2744515872, while the sum is 81.

The spelling of 987279777792 in words is "nine hundred eighty-seven billion, two hundred seventy-nine million, seven hundred seventy-seven thousand, seven hundred ninety-two".