3553584168960 has 1920 divisors, whose sum is σ = 15980817162240. Its totient is φ = 729985056768.

The previous prime is 3553584168899. The next prime is 3553584168961. The reversal of 3553584168960 is 698614853553.

It is a happy number.

3553584168960 is a `hidden beast` number, since 3 + 5 + 535 + 8 + 4 + 1 + 6 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3553584168961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6053805787 + ... + 6053806373.

It is an arithmetic number, because the mean of its divisors is an integer number (8323342272).

Almost surely, 2^{3553584168960} is an apocalyptic number.

3553584168960 is a gapful number since it is divisible by the number (30) 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 3553584168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990408581120).

3553584168960 is an abundant number, since it is smaller than the sum of its proper divisors (12427232993280).

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

3553584168960 is a wasteful number, since it uses less digits than its factorization.

3553584168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 3553584168960 in words is "three trillion, five hundred fifty-three billion, five hundred eighty-four million, one hundred sixty-eight thousand, nine hundred sixty".