1985294568960 has 640 divisors, whose sum is σ = 7437566822400. Its totient is φ = 500570357760.

The previous prime is 1985294568947. The next prime is 1985294568991. The reversal of 1985294568960 is 698654925891.

1985294568960 is a `hidden beast` number, since 1 + 9 + 8 + 52 + 9 + 4 + 568 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 868076937 + ... + 868079223.

It is an arithmetic number, because the mean of its divisors is an integer number (11621198160).

Almost surely, 2^{1985294568960} is an apocalyptic number.

1985294568960 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 1985294568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718783411200).

1985294568960 is an abundant number, since it is smaller than the sum of its proper divisors (5452272253440).

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

1985294568960 is a wasteful number, since it uses less digits than its factorization.

1985294568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 1985294568960 in words is "one trillion, nine hundred eighty-five billion, two hundred ninety-four million, five hundred sixty-eight thousand, nine hundred sixty".