9955693762560 has 2304 divisors, whose sum is σ = 45773446118400. Its totient is φ = 1942370648064.

The previous prime is 9955693762537. The next prime is 9955693762561. The reversal of 9955693762560 is 652673965599.

9955693762560 is a `hidden beast` number, since 9 + 9 + 5 + 56 + 9 + 3 + 7 + 6 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×9955693762560³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9955693762561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6851818794 + ... + 6851820246.

It is an arithmetic number, because the mean of its divisors is an integer number (19866947100).

Almost surely, 2^{9955693762560} is an apocalyptic number.

9955693762560 is a gapful number since it is divisible by the number (90) 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 9955693762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22886723059200).

9955693762560 is an abundant number, since it is smaller than the sum of its proper divisors (35817752355840).

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

9955693762560 is a wasteful number, since it uses less digits than its factorization.

9955693762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 826686000, while the sum is 72.

The spelling of 9955693762560 in words is "nine trillion, nine hundred fifty-five billion, six hundred ninety-three million, seven hundred sixty-two thousand, five hundred sixty".