1161377280 has 480 divisors, whose sum is σ = 4851475200. Its totient is φ = 250822656.

The previous prime is 1161377237. The next prime is 1161377291. The reversal of 1161377280 is 827731611.

1161377280 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 377 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064131 + ... + 3064509.

It is an arithmetic number, because the mean of its divisors is an integer number (10107240).

Almost surely, 2^1161377280 is an apocalyptic number.

1161377280 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 1161377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425737600).

1161377280 is an abundant number, since it is smaller than the sum of its proper divisors (3690097920).

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

1161377280 is a wasteful number, since it uses less digits than its factorization.

1161377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1161377280 is about 34078.9859004050. The cubic root of 1161377280 is about 1051.1332526442.

The spelling of 1161377280 in words is "one billion, one hundred sixty-one million, three hundred seventy-seven thousand, two hundred eighty".