1353531260928 has 552 divisors, whose sum is σ = 4569844658176. Its totient is φ = 348798320640.

The previous prime is 1353531260891. The next prime is 1353531260959. The reversal of 1353531260928 is 8290621353531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10657726401 + ... + 10657726527.

Almost surely, 2^{1353531260928} 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 1353531260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284922329088).

1353531260928 is an abundant number, since it is smaller than the sum of its proper divisors (3216313397248).

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

1353531260928 is an frugal number, since it uses more digits than its factorization.

1353531260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 1353531260928 in words is "one trillion, three hundred fifty-three billion, five hundred thirty-one million, two hundred sixty thousand, nine hundred twenty-eight".