1985995011600 has 480 divisors, whose sum is σ = 7501077043200. Its totient is φ = 497982988800.

The previous prime is 1985995011587. The next prime is 1985995011607. The reversal of 1985995011600 is 61105995891.

1985995011600 is a `hidden beast` number, since 19 + 8 + 5 + 9 + 9 + 5 + 0 + 11 + 600 = 666.

It is a super-2 number, since 2×1985995011600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1985995011607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14587845 + ... + 14723355.

It is an arithmetic number, because the mean of its divisors is an integer number (15627243840).

Almost surely, 2^{1985995011600} is an apocalyptic number.

1985995011600 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 1985995011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750538521600).

1985995011600 is an abundant number, since it is smaller than the sum of its proper divisors (5515082031600).

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

1985995011600 is a wasteful number, since it uses less digits than its factorization.

1985995011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135620 (or 135603 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 1985995011600 in words is "one trillion, nine hundred eighty-five billion, nine hundred ninety-five million, eleven thousand, six hundred".