13659011556100 has 27 divisors (see below), whose sum is σ = 29640135276031. Its totient is φ = 5463589839200.

The previous prime is 13659011556059. The next prime is 13659011556101. The reversal of 13659011556100 is 165511095631.

The square root of 13659011556100 is 3695810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 751144622596 + 12907866933504 = 866686^2 + 3592752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13659011556101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36773310 + ... + 37142890.

Almost surely, 2^{13659011556100} is an apocalyptic number.

13659011556100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13659011556100 is the 3695810-th square number.

It is an amenable number.

13659011556100 is an abundant number, since it is smaller than the sum of its proper divisors (15981123719931).

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

13659011556100 is an frugal number, since it uses more digits than its factorization.

13659011556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739176 (or 369588 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 43.

The spelling of 13659011556100 in words is "thirteen trillion, six hundred fifty-nine billion, eleven million, five hundred fifty-six thousand, one hundred".