13771392928920 has 512 divisors, whose sum is σ = 50895724032000. Its totient is φ = 3284297902080.

The previous prime is 13771392928897. The next prime is 13771392929003. The reversal of 13771392928920 is 2982929317731.

13771392928920 is a `hidden beast` number, since 1 + 3 + 7 + 71 + 392 + 92 + 8 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259943554 + ... + 259996526.

It is an arithmetic number, because the mean of its divisors is an integer number (99405711000).

Almost surely, 2^{13771392928920} is an apocalyptic number.

13771392928920 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 13771392928920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25447862016000).

13771392928920 is an abundant number, since it is smaller than the sum of its proper divisors (37124331103080).

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

13771392928920 is a wasteful number, since it uses less digits than its factorization.

13771392928920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53360 (or 53350 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 13771392928920 in words is "thirteen trillion, seven hundred seventy-one billion, three hundred ninety-two million, nine hundred twenty-eight thousand, nine hundred twenty".