1133870284800 has 1728 divisors, whose sum is σ = 4720948464960. Its totient is φ = 259522560000.

The previous prime is 1133870284783. The next prime is 1133870284823. The reversal of 1133870284800 is 84820783311.

1133870284800 is a `hidden beast` number, since 113 + 38 + 7 + 0 + 28 + 480 + 0 = 666.

It is a super-2 number, since 2×1133870284800² (a number of 25 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 27655372780 + ... + 27655372820.

Almost surely, 2^{1133870284800} is an apocalyptic number.

1133870284800 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 1133870284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360474232480).

1133870284800 is an abundant number, since it is smaller than the sum of its proper divisors (3587078180160).

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

1133870284800 is a wasteful number, since it uses less digits than its factorization.

1133870284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1133870284800 in words is "one trillion, one hundred thirty-three billion, eight hundred seventy million, two hundred eighty-four thousand, eight hundred".