1985052635280 has 1440 divisors, whose sum is σ = 8173324373760. Its totient is φ = 428638003200.

The previous prime is 1985052635227. The next prime is 1985052635323. The reversal of 1985052635280 is 825362505891.

It is a happy number.

1985052635280 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 0 + 52 + 63 + 528 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4076083197 + ... + 4076083683.

It is an arithmetic number, because the mean of its divisors is an integer number (5675919704).

Almost surely, 2^{1985052635280} is an apocalyptic number.

1985052635280 is a gapful number since it is divisible by the number (10) 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 1985052635280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086662186880).

1985052635280 is an abundant number, since it is smaller than the sum of its proper divisors (6188271738480).

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

1985052635280 is a wasteful number, since it uses less digits than its factorization.

1985052635280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1985052635280 in words is "one trillion, nine hundred eighty-five billion, fifty-two million, six hundred thirty-five thousand, two hundred eighty".