13557786669504 has 1344 divisors, whose sum is σ = 52230219005952. Its totient is φ = 3254656204800.

The previous prime is 13557786669443. The next prime is 13557786669509. The reversal of 13557786669504 is 40596668775531.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13557786669509) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24785715759 + ... + 24785716305.

Almost surely, 2^{13557786669504} is an apocalyptic number.

13557786669504 is a gapful number since it is divisible by the number (14) 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 13557786669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115109502976).

13557786669504 is an abundant number, since it is smaller than the sum of its proper divisors (38672432336448).

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

13557786669504 is a wasteful number, since it uses less digits than its factorization.

13557786669504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 13557786669504 in words is "thirteen trillion, five hundred fifty-seven billion, seven hundred eighty-six million, six hundred sixty-nine thousand, five hundred four".