13278686400 has 1512 divisors, whose sum is σ = 61753766256. Its totient is φ = 2786918400.

The previous prime is 13278686381. The next prime is 13278686419. The reversal of 13278686400 is 468687231.

It is an interprime number because it is at equal distance from previous prime (13278686381) and next prime (13278686419).

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 323870380 + ... + 323870420.

It is an arithmetic number, because the mean of its divisors is an integer number (40842438).

Almost surely, 2^13278686400 is an apocalyptic number.

13278686400 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 13278686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30876883128).

13278686400 is an abundant number, since it is smaller than the sum of its proper divisors (48475079856).

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

13278686400 is a wasteful number, since it uses less digits than its factorization.

13278686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13278686400 in words is "thirteen billion, two hundred seventy-eight million, six hundred eighty-six thousand, four hundred".