1153405604160 has 896 divisors, whose sum is σ = 4513244313600. Its totient is φ = 279416438784.

The previous prime is 1153405604119. The next prime is 1153405604161. The reversal of 1153405604160 is 614065043511.

1153405604160 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 40 + 5 + 604 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153405604161) 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, 345019449 + ... + 345022791.

Almost surely, 2^{1153405604160} is an apocalyptic number.

1153405604160 is a gapful number since it is divisible by the number (10) 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 1153405604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256622156800).

1153405604160 is an abundant number, since it is smaller than the sum of its proper divisors (3359838709440).

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

1153405604160 is an equidigital number, since it uses as much as digits as its factorization.

1153405604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1153405604160 in words is "one trillion, one hundred fifty-three billion, four hundred five million, six hundred four thousand, one hundred sixty".