1131447582720 has 1920 divisors, whose sum is σ = 5276362291200. Its totient is φ = 217432719360.

The previous prime is 1131447582709. The next prime is 1131447582757. The reversal of 1131447582720 is 272857441311.

It is a happy number.

1131447582720 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 47 + 582 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36498309105 + ... + 36498309135.

It is an arithmetic number, because the mean of its divisors is an integer number (2748105360).

Almost surely, 2^{1131447582720} is an apocalyptic number.

1131447582720 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 1131447582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638181145600).

1131447582720 is an abundant number, since it is smaller than the sum of its proper divisors (4144914708480).

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

1131447582720 is an equidigital number, since it uses as much as digits as its factorization.

1131447582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1131447582720 in words is "one trillion, one hundred thirty-one billion, four hundred forty-seven million, five hundred eighty-two thousand, seven hundred twenty".