13978675226880 has 864 divisors, whose sum is σ = 59980843802880. Its totient is φ = 2926804008960.

The previous prime is 13978675226869. The next prime is 13978675226891. The reversal of 13978675226880 is 8862257687931.

13978675226880 is a `hidden beast` number, since 1 + 3 + 97 + 8 + 6 + 7 + 522 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13978675226869) and next prime (13978675226891).

It is a super-2 number, since 2×13978675226880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13978675226799 and 13978675226808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137279026 + ... + 137380814.

It is an arithmetic number, because the mean of its divisors is an integer number (69422272920).

Almost surely, 2^{13978675226880} is an apocalyptic number.

13978675226880 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 13978675226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29990421901440).

13978675226880 is an abundant number, since it is smaller than the sum of its proper divisors (46002168576000).

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

13978675226880 is a wasteful number, since it uses less digits than its factorization.

13978675226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101967 (or 101950 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 13978675226880 in words is "thirteen trillion, nine hundred seventy-eight billion, six hundred seventy-five million, two hundred twenty-six thousand, eight hundred eighty".