5460753444100 has 72 divisors (see below), whose sum is σ = 12426374426760. Its totient is φ = 2080090414080.

The previous prime is 5460753444089. The next prime is 5460753444121. The reversal of 5460753444100 is 14443570645.

It can be written as a sum of positive squares in 12 ways, for example, as 1485044453376 + 3975708990724 = 1218624^2 + 1993918^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12685687 + ... + 13109086.

It is an arithmetic number, because the mean of its divisors is an integer number (172588533705).

Almost surely, 2^{5460753444100} is an apocalyptic number.

5460753444100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5460753444100 is an abundant number, since it is smaller than the sum of its proper divisors (6965620982660).

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

5460753444100 is a wasteful number, since it uses less digits than its factorization.

5460753444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25794889 (or 25794882 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 5460753444100 in words is "five trillion, four hundred sixty billion, seven hundred fifty-three million, four hundred forty-four thousand, one hundred".