985014507755520 has 1536 divisors, whose sum is σ = 3904147305676800. Its totient is φ = 233522262835200.

The previous prime is 985014507755501. The next prime is 985014507755549. The reversal of 985014507755520 is 25557705410589.

985014507755520 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 1 + 4 + 5 + 0 + 7 + 75 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266869276875 + ... + 266869280565.

It is an arithmetic number, because the mean of its divisors is an integer number (2541762568800).

Almost surely, 2^{985014507755520} is an apocalyptic number.

985014507755520 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 985014507755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952073652838400).

985014507755520 is an abundant number, since it is smaller than the sum of its proper divisors (2919132797921280).

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

985014507755520 is a wasteful number, since it uses less digits than its factorization.

985014507755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 88200000, while the sum is 63.

The spelling of 985014507755520 in words is "nine hundred eighty-five trillion, fourteen billion, five hundred seven million, seven hundred fifty-five thousand, five hundred twenty".