1152142591600 has 720 divisors, whose sum is σ = 3759935348736. Its totient is φ = 330136012800.

The previous prime is 1152142591577. The next prime is 1152142591603. The reversal of 1152142591600 is 61952412511.

It is a self number, because there is not a number n which added to its sum of digits gives 1152142591600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152142591603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1686884859 + ... + 1686885541.

Almost surely, 2^{1152142591600} is an apocalyptic number.

1152142591600 is a gapful number since it is divisible by the number (10) 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 1152142591600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879967674368).

1152142591600 is an abundant number, since it is smaller than the sum of its proper divisors (2607792757136).

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

1152142591600 is a wasteful number, since it uses less digits than its factorization.

1152142591600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 1152142591600 in words is "one trillion, one hundred fifty-two billion, one hundred forty-two million, five hundred ninety-one thousand, six hundred".