1152788900832 has 192 divisors, whose sum is σ = 3527237145600. Its totient is φ = 365786426880.

The previous prime is 1152788900797. The next prime is 1152788900843. The reversal of 1152788900832 is 2380098872511.

1152788900832 is a `hidden beast` number, since 1 + 1 + 527 + 8 + 89 + 0 + 0 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454973 + ... + 2102979.

It is an arithmetic number, because the mean of its divisors is an integer number (18371026800).

Almost surely, 2^{1152788900832} is an apocalyptic number.

1152788900832 is a gapful number since it is divisible by the number (12) 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 1152788900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763618572800).

1152788900832 is an abundant number, since it is smaller than the sum of its proper divisors (2374448244768).

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

1152788900832 is a wasteful number, since it uses less digits than its factorization.

1152788900832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648126 (or 648112 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1152788900832 in words is "one trillion, one hundred fifty-two billion, seven hundred eighty-eight million, nine hundred thousand, eight hundred thirty-two".