1153485724752 has 60 divisors (see below), whose sum is σ = 3418049618100. Its totient is φ = 361877873664.

The previous prime is 1153485724711. The next prime is 1153485724757. The reversal of 1153485724752 is 2574275843511.

1153485724752 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 485 + 72 + 47 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 697017935376 + 456467789376 = 834876^2 + 675624^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153485724757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235595127 + ... + 235600022.

It is an arithmetic number, because the mean of its divisors is an integer number (56967493635).

Almost surely, 2^{1153485724752} is an apocalyptic number.

1153485724752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1153485724752 is an abundant number, since it is smaller than the sum of its proper divisors (2264563893348).

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

1153485724752 is a wasteful number, since it uses less digits than its factorization.

1153485724752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471195180 (or 471195171 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 1153485724752 in words is "one trillion, one hundred fifty-three billion, four hundred eighty-five million, seven hundred twenty-four thousand, seven hundred fifty-two".