5460072113400 has 96 divisors (see below), whose sum is σ = 16927485321600. Its totient is φ = 1455910691200.

The previous prime is 5460072113393. The next prime is 5460072113453. The reversal of 5460072113400 is 43112700645.

It is a super-3 number, since 3×5460072113400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

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, 7882261 + ... + 8546939.

It is an arithmetic number, because the mean of its divisors is an integer number (176327972100).

Almost surely, 2^{5460072113400} is an apocalyptic number.

5460072113400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5460072113400 is an abundant number, since it is smaller than the sum of its proper divisors (11467413208200).

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

5460072113400 is a wasteful number, since it uses less digits than its factorization.

5460072113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678389 (or 678380 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 5460072113400 in words is "five trillion, four hundred sixty billion, seventy-two million, one hundred thirteen thousand, four hundred".