13758554880 has 432 divisors, whose sum is σ = 55315251264. Its totient is φ = 3092152320.

The previous prime is 13758554867. The next prime is 13758554893. The reversal of 13758554880 is 8845585731.

13758554880 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 8 + 554 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13758554867) and next prime (13758554893).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4917642 + ... + 4920438.

Almost surely, 2^13758554880 is an apocalyptic number.

13758554880 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 13758554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27657625632).

13758554880 is an abundant number, since it is smaller than the sum of its proper divisors (41556696384).

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

13758554880 is a wasteful number, since it uses less digits than its factorization.

13758554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 13758554880 in words is "thirteen billion, seven hundred fifty-eight million, five hundred fifty-four thousand, eight hundred eighty".