985277076960 has 288 divisors, whose sum is σ = 3417834855456. Its totient is φ = 238405939200.

The previous prime is 985277076937. The next prime is 985277076977. The reversal of 985277076960 is 69670772589.

985277076960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 985277076891 and 985277076900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31405602 + ... + 31436958.

It is an arithmetic number, because the mean of its divisors is an integer number (11867482137).

Almost surely, 2^985277076960 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 985277076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708917427728).

985277076960 is an abundant number, since it is smaller than the sum of its proper divisors (2432557778496).

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

985277076960 is a wasteful number, since it uses less digits than its factorization.

985277076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31938 (or 31919 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 985277076960 in words is "nine hundred eighty-five billion, two hundred seventy-seven million, seventy-six thousand, nine hundred sixty".