987862769712 has 960 divisors, whose sum is σ = 3652621772800. Its totient is φ = 247342491648.

The previous prime is 987862769711. The next prime is 987862769851. The reversal of 987862769712 is 217967268789.

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

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

It is not an unprimeable number, because it can be changed into a prime (987862769711) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1021574253 + ... + 1021575219.

Almost surely, 2^987862769712 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 987862769712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826310886400).

987862769712 is an abundant number, since it is smaller than the sum of its proper divisors (2664759003088).

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

987862769712 is a wasteful number, since it uses less digits than its factorization.

987862769712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1072 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 72.

The spelling of 987862769712 in words is "nine hundred eighty-seven billion, eight hundred sixty-two million, seven hundred sixty-nine thousand, seven hundred twelve".