13561278080000 has 1760 divisors, whose sum is σ = 43394381952768. Its totient is φ = 4128768000000.

The previous prime is 13561278079963. The next prime is 13561278080011. The reversal of 13561278080000 is 8087216531.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 13561278080000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134270079950 + ... + 134270080050.

Almost surely, 2^{13561278080000} is an apocalyptic number.

13561278080000 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 13561278080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21697190976384).

13561278080000 is an abundant number, since it is smaller than the sum of its proper divisors (29833103872768).

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

13561278080000 is a wasteful number, since it uses less digits than its factorization.

13561278080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 13561278080000 in words is "thirteen trillion, five hundred sixty-one billion, two hundred seventy-eight million, eighty thousand".