1152353540520 has 448 divisors, whose sum is σ = 4784521633920. Its totient is φ = 243133373952.

The previous prime is 1152353540383. The next prime is 1152353540537. The reversal of 1152353540520 is 250453532511.

1152353540520 is a `hidden beast` number, since 1 + 1 + 52 + 35 + 3 + 54 + 0 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2436427 + ... + 2870693.

It is an arithmetic number, because the mean of its divisors is an integer number (10679735790).

Almost surely, 2^{1152353540520} is an apocalyptic number.

1152353540520 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 1152353540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392260816960).

1152353540520 is an abundant number, since it is smaller than the sum of its proper divisors (3632168093400).

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

1152353540520 is a wasteful number, since it uses less digits than its factorization.

1152353540520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434316 (or 434297 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1152353540520 in words is "one trillion, one hundred fifty-two billion, three hundred fifty-three million, five hundred forty thousand, five hundred twenty".