3553320960000 has 2380 divisors, whose sum is σ = 16111660455792. Its totient is φ = 764411904000.

The previous prime is 3553320959939. The next prime is 3553320960037. The reversal of 3553320960000 is 690233553.

3553320960000 is a `hidden beast` number, since 35 + 533 + 2 + 0 + 96 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2380).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 209018879992 + ... + 209018880008.

Almost surely, 2^{3553320960000} is an apocalyptic number.

3553320960000 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 3553320960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055830227896).

3553320960000 is an abundant number, since it is smaller than the sum of its proper divisors (12558339495792).

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

3553320960000 is an frugal number, since it uses more digits than its factorization.

3553320960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 3553320960000 in words is "three trillion, five hundred fifty-three billion, three hundred twenty million, nine hundred sixty thousand".