13077107005400 has 192 divisors, whose sum is σ = 32620062182400. Its totient is φ = 4863348864000.

The previous prime is 13077107005363. The next prime is 13077107005429. The reversal of 13077107005400 is 450070177031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50982671 + ... + 51238529.

It is an arithmetic number, because the mean of its divisors is an integer number (169896157200).

Almost surely, 2^{13077107005400} is an apocalyptic number.

13077107005400 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 13077107005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310031091200).

13077107005400 is an abundant number, since it is smaller than the sum of its proper divisors (19542955177000).

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

13077107005400 is a wasteful number, since it uses less digits than its factorization.

13077107005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256210 (or 256201 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The spelling of 13077107005400 in words is "thirteen trillion, seventy-seven billion, one hundred seven million, five thousand, four hundred".