1153141704000 has 1792 divisors, whose sum is σ = 5109784243200. Its totient is φ = 250822656000.

The previous prime is 1153141703981. The next prime is 1153141704007. The reversal of 1153141704000 is 4071413511.

1153141704000 is a `hidden beast` number, since 1 + 1 + 53 + 141 + 70 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153141704007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1142855496 + ... + 1142856504.

It is an arithmetic number, because the mean of its divisors is an integer number (2851442100).

Almost surely, 2^{1153141704000} is an apocalyptic number.

1153141704000 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 1153141704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554892121600).

1153141704000 is an abundant number, since it is smaller than the sum of its proper divisors (3956642539200).

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

1153141704000 is a wasteful number, since it uses less digits than its factorization.

1153141704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1153141704000 in words is "one trillion, one hundred fifty-three billion, one hundred forty-one million, seven hundred four thousand".