9985680540 has 96 divisors (see below), whose sum is σ = 33890814720. Its totient is φ = 2420769600.

The previous prime is 9985680533. The next prime is 9985680563. The reversal of 9985680540 is 450865899.

It is a happy number.

9985680540 is a `hidden beast` number, since 9 + 98 + 5 + 6 + 8 + 0 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834606 + ... + 846485.

It is an arithmetic number, because the mean of its divisors is an integer number (353029320).

Almost surely, 2^9985680540 is an apocalyptic number.

9985680540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9985680540 is an abundant number, since it is smaller than the sum of its proper divisors (23905134180).

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

9985680540 is a wasteful number, since it uses less digits than its factorization.

9985680540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681120 (or 1681112 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 9985680540 is about 99928.3770507657. The cubic root of 9985680540 is about 2153.4058540841.

The spelling of 9985680540 in words is "nine billion, nine hundred eighty-five million, six hundred eighty thousand, five hundred forty".