9954539993088 has 1152 divisors, whose sum is σ = 33149545228800. Its totient is φ = 2859938611200.

The previous prime is 9954539993087. The next prime is 9954539993131. The reversal of 9954539993088 is 8803999354599.

It is a happy number.

9954539993088 is a `hidden beast` number, since 9 + 9 + 545 + 39 + 9 + 9 + 30 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 9954539992998 and 9954539993016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9954539993087) 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, 17433519843 + ... + 17433520413.

It is an arithmetic number, because the mean of its divisors is an integer number (28775646900).

Almost surely, 2^{9954539993088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9954539993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574772614400).

9954539993088 is an abundant number, since it is smaller than the sum of its proper divisors (23195005235712).

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

9954539993088 is a wasteful number, since it uses less digits than its factorization.

9954539993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3401222400, while the sum is 81.

The spelling of 9954539993088 in words is "nine trillion, nine hundred fifty-four billion, five hundred thirty-nine million, nine hundred ninety-three thousand, eighty-eight".