9955444800625 has 45 divisors (see below), whose sum is σ = 12653722694613. Its totient is φ = 7830006360000.

The previous prime is 9955444800611. The next prime is 9955444800713. The reversal of 9955444800625 is 5260084445599.

The square root of 9955444800625 is 3155225.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 894959516529 + 9060485284096 = 946023^2 + 3010064^2 .

It is not a de Polignac number, because 9955444800625 - 2¹⁷ = 9955444669553 is a prime.

It is a super-2 number, since 2×9955444800625² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4811717091 + ... + 4811719159.

Almost surely, 2^{9955444800625} is an apocalyptic number.

9955444800625 is the 3155225-th square number.

9955444800625 is the 1577613-rd centered octagonal number.

It is an amenable number.

9955444800625 is a deficient number, since it is larger than the sum of its proper divisors (2698277893988).

9955444800625 is an frugal number, since it uses more digits than its factorization.

9955444800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 61.

The spelling of 9955444800625 in words is "nine trillion, nine hundred fifty-five billion, four hundred forty-four million, eight hundred thousand, six hundred twenty-five".