12754990080000 has 2240 divisors, whose sum is σ = 55274931360000. Its totient is φ = 2904588288000.

The previous prime is 12754990079987. The next prime is 12754990080029. The reversal of 12754990080000 is 8009945721.

12754990080000 is a `hidden beast` number, since 1 + 27 + 549 + 9 + 0 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 159 ways as a sum of consecutive naturals, for example, 47416319866 + ... + 47416320134.

Almost surely, 2^{12754990080000} is an apocalyptic number.

12754990080000 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 12754990080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637465680000).

12754990080000 is an abundant number, since it is smaller than the sum of its proper divisors (42519941280000).

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

12754990080000 is an frugal number, since it uses more digits than its factorization.

12754990080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12754990080000 in words is "twelve trillion, seven hundred fifty-four billion, nine hundred ninety million, eighty thousand".