5745127616400 has 120 divisors (see below), whose sum is σ = 18404504072064. Its totient is φ = 1531955340800.

The previous prime is 5745127616387. The next prime is 5745127616413. The reversal of 5745127616400 is 46167215475.

It is an interprime number because it is at equal distance from previous prime (5745127616387) and next prime (5745127616413).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5745127616400.

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, 25468105 + ... + 25692695.

Almost surely, 2^{5745127616400} is an apocalyptic number.

5745127616400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5745127616400 is an abundant number, since it is smaller than the sum of its proper divisors (12659376455664).

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

5745127616400 is a wasteful number, since it uses less digits than its factorization.

5745127616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245929 (or 245918 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 5745127616400 in words is "five trillion, seven hundred forty-five billion, one hundred twenty-seven million, six hundred sixteen thousand, four hundred".