3553418280960 has 1216 divisors, whose sum is σ = 13529121177600. Its totient is φ = 883320422400.

The previous prime is 3553418280889. The next prime is 3553418280961. The reversal of 3553418280960 is 690828143553.

3553418280960 is a `hidden beast` number, since 3 + 5 + 534 + 18 + 2 + 8 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3553418280897 and 3553418280906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3553418280961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44979978201 + ... + 44979978279.

Almost surely, 2^{3553418280960} is an apocalyptic number.

3553418280960 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 3553418280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764560588800).

3553418280960 is an abundant number, since it is smaller than the sum of its proper divisors (9975702896640).

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

3553418280960 is an frugal number, since it uses more digits than its factorization.

3553418280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3553418280960 in words is "three trillion, five hundred fifty-three billion, four hundred eighteen million, two hundred eighty thousand, nine hundred sixty".