1152037725696 has 480 divisors, whose sum is σ = 3913972302240. Its totient is φ = 321601536000.

The previous prime is 1152037725679. The next prime is 1152037725749. The reversal of 1152037725696 is 6965277302511.

It is a happy number.

1152037725696 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 3 + 7 + 72 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396023890 + ... + 396026798.

It is an arithmetic number, because the mean of its divisors is an integer number (8154108963).

Almost surely, 2^{1152037725696} is an apocalyptic number.

1152037725696 is a gapful number since it is divisible by the number (16) 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 1152037725696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956986151120).

1152037725696 is an abundant number, since it is smaller than the sum of its proper divisors (2761934576544).

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

1152037725696 is a wasteful number, since it uses less digits than its factorization.

1152037725696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 1152037725696 in words is "one trillion, one hundred fifty-two billion, thirty-seven million, seven hundred twenty-five thousand, six hundred ninety-six".