13778869760100 has 81 divisors (see below), whose sum is σ = 43189450823883. Its totient is φ = 3674335573440.

The previous prime is 13778869760053. The next prime is 13778869760101. The reversal of 13778869760100 is 106796887731.

The square root of 13778869760100 is 3711990.

It is a perfect power (a square), and thus also a powerful number.

13778869760100 is a `hidden beast` number, since 13 + 7 + 7 + 8 + 8 + 6 + 9 + 7 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 524144144484 + 13254725615616 = 723978^2 + 3640704^2 .

It is not an unprimeable number, because it can be changed into a prime (13778869760101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111297834 + ... + 111421566.

Almost surely, 2^{13778869760100} is an apocalyptic number.

13778869760100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13778869760100 is the 3711990-th square number.

It is an amenable number.

13778869760100 is an abundant number, since it is smaller than the sum of its proper divisors (29410581063783).

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

13778869760100 is an frugal number, since it uses more digits than its factorization.

13778869760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247486 (or 123743 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

It can be divided in two parts, 13778869 and 760100, that added together give a square (14538969 = 3813²).

The spelling of 13778869760100 in words is "thirteen trillion, seven hundred seventy-eight billion, eight hundred sixty-nine million, seven hundred sixty thousand, one hundred".