1985256000 has 896 divisors, whose sum is σ = 9053291520. Its totient is φ = 414720000.

The previous prime is 1985255989. The next prime is 1985256019. The reversal of 1985256000 is 6525891.

It is a happy number.

1985256000 is a `hidden beast` number, since 1 + 98 + 5 + 2 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655950 + ... + 19656050.

It is an arithmetic number, because the mean of its divisors is an integer number (10104120).

Almost surely, 2^1985256000 is an apocalyptic number.

1985256000 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 1985256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526645760).

1985256000 is an abundant number, since it is smaller than the sum of its proper divisors (7068035520).

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

1985256000 is a wasteful number, since it uses less digits than its factorization.

1985256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1985256000 is about 44556.2116881586. The cubic root of 1985256000 is about 1256.8173645716.

The spelling of 1985256000 in words is "one billion, nine hundred eighty-five million, two hundred fifty-six thousand".