13727253254400 has 1620 divisors, whose sum is σ = 59225154764160. Its totient is φ = 3127967539200.

The previous prime is 13727253254383. The next prime is 13727253254431. The reversal of 13727253254400 is 445235272731.

13727253254400 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 72 + 5 + 32 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×13727253254400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11151301785 + ... + 11151303015.

Almost surely, 2^{13727253254400} is an apocalyptic number.

13727253254400 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 13727253254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29612577382080).

13727253254400 is an abundant number, since it is smaller than the sum of its proper divisors (45497901509760).

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

13727253254400 is a wasteful number, since it uses less digits than its factorization.

13727253254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 13727253254400 in words is "thirteen trillion, seven hundred twenty-seven billion, two hundred fifty-three million, two hundred fifty-four thousand, four hundred".