1152259618752 has 560 divisors, whose sum is σ = 3770268125184. Its totient is φ = 345067776000.

The previous prime is 1152259618733. The next prime is 1152259618799. The reversal of 1152259618752 is 2578169522511.

It is a happy number.

1152259618752 is a `hidden beast` number, since 1 + 1 + 522 + 5 + 9 + 61 + 8 + 7 + 52 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2673455977 + ... + 2673456407.

Almost surely, 2^{1152259618752} is an apocalyptic number.

1152259618752 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 1152259618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885134062592).

1152259618752 is an abundant number, since it is smaller than the sum of its proper divisors (2618008506432).

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

1152259618752 is a wasteful number, since it uses less digits than its factorization.

1152259618752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 891 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 1152259618752 in words is "one trillion, one hundred fifty-two billion, two hundred fifty-nine million, six hundred eighteen thousand, seven hundred fifty-two".