5460180096 has 128 divisors (see below), whose sum is σ = 16688016000. Its totient is φ = 1549467648.

The previous prime is 5460180091. The next prime is 5460180101. The reversal of 5460180096 is 6900810645.

It is an interprime number because it is at equal distance from previous prime (5460180091) and next prime (5460180101).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5460180091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393696 + ... + 407328.

It is an arithmetic number, because the mean of its divisors is an integer number (130375125).

Almost surely, 2^5460180096 is an apocalyptic number.

5460180096 is a gapful number since it is divisible by the number (56) 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 5460180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344008000).

5460180096 is an abundant number, since it is smaller than the sum of its proper divisors (11227835904).

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

5460180096 is a wasteful number, since it uses less digits than its factorization.

5460180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13806 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5460180096 is about 73893.0314441084. The cubic root of 5460180096 is about 1760.9039020850.

The spelling of 5460180096 in words is "five billion, four hundred sixty million, one hundred eighty thousand, ninety-six".