12820939407360 has 2592 divisors, whose sum is σ = 56390960650752. Its totient is φ = 2782459330560.

The previous prime is 12820939407359. The next prime is 12820939407371. The reversal of 12820939407360 is 6370493902821.

12820939407360 is a `hidden beast` number, since 1 + 2 + 8 + 209 + 39 + 40 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a junction number, because it is equal to n+sod(n) for n = 12820939407297 and 12820939407306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241904517094 + ... + 241904517146.

It is an arithmetic number, because the mean of its divisors is an integer number (21755771856).

Almost surely, 2^{12820939407360} is an apocalyptic number.

12820939407360 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 12820939407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195480325376).

12820939407360 is an abundant number, since it is smaller than the sum of its proper divisors (43570021243392).

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

12820939407360 is an frugal number, since it uses more digits than its factorization.

12820939407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12820939407360 in words is "twelve trillion, eight hundred twenty billion, nine hundred thirty-nine million, four hundred seven thousand, three hundred sixty".