13776078857760 has 768 divisors, whose sum is σ = 50335678471680. Its totient is φ = 3516011642880.

The previous prime is 13776078857743. The next prime is 13776078857789. The reversal of 13776078857760 is 6775887067731.

13776078857760 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 607 + 8 + 8 + 5 + 7 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3049827022 + ... + 3049831538.

It is an arithmetic number, because the mean of its divisors is an integer number (65541248010).

Almost surely, 2^{13776078857760} is an apocalyptic number.

13776078857760 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 13776078857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25167839235840).

13776078857760 is an abundant number, since it is smaller than the sum of its proper divisors (36559599613920).

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

13776078857760 is a wasteful number, since it uses less digits than its factorization.

13776078857760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 72.

The spelling of 13776078857760 in words is "thirteen trillion, seven hundred seventy-six billion, seventy-eight million, eight hundred fifty-seven thousand, seven hundred sixty".