5375119680 has 504 divisors, whose sum is σ = 22054916520. Its totient is φ = 1197342720.

The previous prime is 5375119643. The next prime is 5375119697. The reversal of 5375119680 is 869115735.

It is a happy number.

5375119680 is a `hidden beast` number, since 53 + 7 + 511 + 9 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420086016 + 4955033664 = 20496^2 + 70392^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 5785456 + ... + 5786384.

It is an arithmetic number, because the mean of its divisors is an integer number (43759755).

Almost surely, 2^5375119680 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 5375119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027458260).

5375119680 is an abundant number, since it is smaller than the sum of its proper divisors (16679796840).

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

5375119680 is a wasteful number, since it uses less digits than its factorization.

5375119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5375119680 is about 73315.2076993580. The cubic root of 5375119680 is about 1751.7120312342.

The spelling of 5375119680 in words is "five billion, three hundred seventy-five million, one hundred nineteen thousand, six hundred eighty".