13277825920800 has 2160 divisors, whose sum is σ = 59793162992640. Its totient is φ = 2850913013760.

The previous prime is 13277825920783. The next prime is 13277825920813. The reversal of 13277825920800 is 802952877231.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×13277825920800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7661756734 + ... + 7661758466.

It is an arithmetic number, because the mean of its divisors is an integer number (27682019904).

Almost surely, 2^{13277825920800} is an apocalyptic number.

13277825920800 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 13277825920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29896581496320).

13277825920800 is an abundant number, since it is smaller than the sum of its proper divisors (46515337071840).

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

13277825920800 is a wasteful number, since it uses less digits than its factorization.

13277825920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13277825920800 in words is "thirteen trillion, two hundred seventy-seven billion, eight hundred twenty-five million, nine hundred twenty thousand, eight hundred".