1985070703968 has 1440 divisors, whose sum is σ = 7080466821120. Its totient is φ = 543187814400.

The previous prime is 1985070703961. The next prime is 1985070703969. The reversal of 1985070703968 is 8693070705891.

1985070703968 is a `hidden beast` number, since 1 + 98 + 507 + 0 + 7 + 0 + 39 + 6 + 8 = 666.

It is a super-2 number, since 2×1985070703968² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985070703961) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15630477921 + ... + 15630478047.

It is an arithmetic number, because the mean of its divisors is an integer number (4916990848).

Almost surely, 2^{1985070703968} is an apocalyptic number.

1985070703968 is a gapful number since it is divisible by the number (18) 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 1985070703968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540233410560).

1985070703968 is an abundant number, since it is smaller than the sum of its proper divisors (5095396117152).

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

1985070703968 is a wasteful number, since it uses less digits than its factorization.

1985070703968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 1985070703968 in words is "one trillion, nine hundred eighty-five billion, seventy million, seven hundred three thousand, nine hundred sixty-eight".