1139214585600 has 4320 divisors, whose sum is σ = 5770523996160. Its totient is φ = 214990848000.

The previous prime is 1139214585529. The next prime is 1139214585623. The reversal of 1139214585600 is 65854129311.

It is a happy number.

1139214585600 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 2 + 1 + 4 + 585 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 27785721580 + ... + 27785721620.

Almost surely, 2^{1139214585600} is an apocalyptic number.

1139214585600 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 1139214585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885261998080).

1139214585600 is an abundant number, since it is smaller than the sum of its proper divisors (4631309410560).

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

1139214585600 is a wasteful number, since it uses less digits than its factorization.

1139214585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1139214585600 in words is "one trillion, one hundred thirty-nine billion, two hundred fourteen million, five hundred eighty-five thousand, six hundred".