13877488800 has 432 divisors, whose sum is σ = 56200277952. Its totient is φ = 3156480000.

The previous prime is 13877488789. The next prime is 13877488853. The reversal of 13877488800 is 888477831.

13877488800 is a `hidden beast` number, since 1 + 3 + 87 + 7 + 488 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12649852 + ... + 12650948.

It is an arithmetic number, because the mean of its divisors is an integer number (130093236).

Almost surely, 2^13877488800 is an apocalyptic number.

13877488800 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 13877488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28100138976).

13877488800 is an abundant number, since it is smaller than the sum of its proper divisors (42322789152).

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

13877488800 is a wasteful number, since it uses less digits than its factorization.

13877488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 13877488800 in words is "thirteen billion, eight hundred seventy-seven million, four hundred eighty-eight thousand, eight hundred".