1152027617052 has 96 divisors (see below), whose sum is σ = 2920248656640. Its totient is φ = 351366635520.

The previous prime is 1152027617051. The next prime is 1152027617077. The reversal of 1152027617052 is 2507167202511.

It is a super-2 number, since 2×1152027617052² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1152027617052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152027617051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13858003 + ... + 13940885.

It is an arithmetic number, because the mean of its divisors is an integer number (30419256840).

Almost surely, 2^{1152027617052} is an apocalyptic number.

1152027617052 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 1152027617052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460124328320).

1152027617052 is an abundant number, since it is smaller than the sum of its proper divisors (1768221039588).

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

1152027617052 is a wasteful number, since it uses less digits than its factorization.

1152027617052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83683 (or 83681 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 1152027617052 in words is "one trillion, one hundred fifty-two billion, twenty-seven million, six hundred seventeen thousand, fifty-two".