13757891666400 has 720 divisors, whose sum is σ = 57866096645280. Its totient is φ = 3115799654400.

The previous prime is 13757891666381. The next prime is 13757891666413. The reversal of 13757891666400 is 466619875731.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49303270 + ... + 49581530.

It is an arithmetic number, because the mean of its divisors is an integer number (80369578674).

Almost surely, 2^{13757891666400} is an apocalyptic number.

13757891666400 is a gapful number since it is divisible by the number (10) 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 13757891666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28933048322640).

13757891666400 is an abundant number, since it is smaller than the sum of its proper divisors (44108204978880).

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

13757891666400 is a wasteful number, since it uses less digits than its factorization.

13757891666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278409 (or 278387 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 13757891666400 in words is "thirteen trillion, seven hundred fifty-seven billion, eight hundred ninety-one million, six hundred sixty-six thousand, four hundred".