5754676838400 has 1920 divisors, whose sum is σ = 25463763072000. Its totient is φ = 1245708288000.

The previous prime is 5754676838399. The next prime is 5754676838401. The reversal of 5754676838400 is 48386764575.

5754676838400 is a `hidden beast` number, since 5 + 7 + 546 + 7 + 6 + 8 + 3 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5754676838399) and next prime (5754676838401).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754676838401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56976998350 + ... + 56976998450.

It is an arithmetic number, because the mean of its divisors is an integer number (13262376600).

Almost surely, 2^{5754676838400} is an apocalyptic number.

5754676838400 is a gapful number since it is divisible by the number (50) 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 5754676838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731881536000).

5754676838400 is an abundant number, since it is smaller than the sum of its proper divisors (19709086233600).

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

5754676838400 is an equidigital number, since it uses as much as digits as its factorization.

5754676838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 5754676838400 in words is "five trillion, seven hundred fifty-four billion, six hundred seventy-six million, eight hundred thirty-eight thousand, four hundred".