5460120756 has 36 divisors (see below), whose sum is σ = 13804803012. Its totient is φ = 1819666944.

The previous prime is 5460120751. The next prime is 5460120761. The reversal of 5460120756 is 6570210645.

It is a happy number.

5460120756 is a `hidden beast` number, since 5 + 460 + 120 + 75 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5460120751) and next prime (5460120761).

It can be written as a sum of positive squares in 2 ways, for example, as 770062500 + 4690058256 = 27750^2 + 68484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5460120756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460120751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205380 + ... + 230436.

Almost surely, 2^5460120756 is an apocalyptic number.

It is an amenable number.

5460120756 is an abundant number, since it is smaller than the sum of its proper divisors (8344682256).

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

5460120756 is a wasteful number, since it uses less digits than its factorization.

5460120756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31120 (or 31115 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5460120756 is about 73892.6299166568. The cubic root of 5460120756 is about 1760.8975230270.

It can be divided in two parts, 54601 and 20756, that added together give a palindrome (75357).

The spelling of 5460120756 in words is "five billion, four hundred sixty million, one hundred twenty thousand, seven hundred fifty-six".