13076827955100 has 1728 divisors, whose sum is σ = 57352579200000. Its totient is φ = 2523537192960.

The previous prime is 13076827955099. The next prime is 13076827955101. The reversal of 13076827955100 is 155972867031.

13076827955100 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 82 + 7 + 9 + 551 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13076827955099) and next prime (13076827955101).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13076827955101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 947658001 + ... + 947671799.

It is an arithmetic number, because the mean of its divisors is an integer number (33190150000).

Almost surely, 2^{13076827955100} is an apocalyptic number.

13076827955100 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 13076827955100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28676289600000).

13076827955100 is an abundant number, since it is smaller than the sum of its proper divisors (44275751244900).

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

13076827955100 is a wasteful number, since it uses less digits than its factorization.

13076827955100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13897 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 13076827955100 in words is "thirteen trillion, seventy-six billion, eight hundred twenty-seven million, nine hundred fifty-five thousand, one hundred".