13727750400 has 1296 divisors, whose sum is σ = 63288977024. Its totient is φ = 2866544640.

The previous prime is 13727750383. The next prime is 13727750417. The reversal of 13727750400 is 405772731.

13727750400 is a `hidden beast` number, since 13 + 72 + 77 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13727750383) and next prime (13727750417).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×13727750400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141523152 + ... + 141523248.

Almost surely, 2^13727750400 is an apocalyptic number.

13727750400 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 13727750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31644488512).

13727750400 is an abundant number, since it is smaller than the sum of its proper divisors (49561226624).

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

13727750400 is an equidigital number, since it uses as much as digits as its factorization.

13727750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 13727750400 in words is "thirteen billion, seven hundred twenty-seven million, seven hundred fifty thousand, four hundred".