3593541144960 has 256 divisors, whose sum is σ = 13706135352000. Its totient is φ = 884563918848.

The previous prime is 3593541144871. The next prime is 3593541144979. The reversal of 3593541144960 is 694411453953.

3593541144960 is a `hidden beast` number, since 3 + 5 + 9 + 3 + 541 + 1 + 4 + 4 + 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 = 3593541144897 and 3593541144906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7773805 + ... + 8223084.

Almost surely, 2^{3593541144960} is an apocalyptic number.

3593541144960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3593541144960 is an abundant number, since it is smaller than the sum of its proper divisors (10112594207040).

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

3593541144960 is a wasteful number, since it uses less digits than its factorization.

3593541144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15996930 (or 15996912 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3593541144960 in words is "three trillion, five hundred ninety-three billion, five hundred forty-one million, one hundred forty-four thousand, nine hundred sixty".