5975117280 has 336 divisors, whose sum is σ = 23093655984. Its totient is φ = 1448202240.

The previous prime is 5975117231. The next prime is 5975117303. The reversal of 5975117280 is 827115795.

5975117280 is a `hidden beast` number, since 59 + 7 + 511 + 7 + 2 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1280712 + ... + 1285368.

It is an arithmetic number, because the mean of its divisors is an integer number (68731119).

Almost surely, 2^5975117280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5975117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546827992).

5975117280 is an abundant number, since it is smaller than the sum of its proper divisors (17118538704).

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

5975117280 is a wasteful number, since it uses less digits than its factorization.

5975117280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 5975117280 is about 77298.8827862344. The cubic root of 5975117280 is about 1814.6051733211.

The spelling of 5975117280 in words is "five billion, nine hundred seventy-five million, one hundred seventeen thousand, two hundred eighty".