985698362880 has 3840 divisors, whose sum is σ = 4963825152000. Its totient is φ = 178032476160.

The previous prime is 985698362839. The next prime is 985698362881. The reversal of 985698362880 is 88263896589.

985698362880 is a `hidden beast` number, since 9 + 8 + 569 + 8 + 36 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 985698362799 and 985698362808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985698362881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33989598706 + ... + 33989598734.

It is an arithmetic number, because the mean of its divisors is an integer number (1292662800).

Almost surely, 2^985698362880 is an apocalyptic number.

985698362880 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 985698362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481912576000).

985698362880 is an abundant number, since it is smaller than the sum of its proper divisors (3978126789120).

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

985698362880 is a wasteful number, since it uses less digits than its factorization.

985698362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 985698362880 in words is "nine hundred eighty-five billion, six hundred ninety-eight million, three hundred sixty-two thousand, eight hundred eighty".