12778545920 has 288 divisors, whose sum is σ = 36238648320. Its totient is φ = 4226826240.

The previous prime is 12778545917. The next prime is 12778546037. The reversal of 12778545920 is 2954587721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33716291 + ... + 33716669.

It is an arithmetic number, because the mean of its divisors is an integer number (125828640).

Almost surely, 2^12778545920 is an apocalyptic number.

12778545920 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 12778545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119324160).

12778545920 is an abundant number, since it is smaller than the sum of its proper divisors (23460102400).

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

12778545920 is an equidigital number, since it uses as much as digits as its factorization.

12778545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 12778545920 in words is "twelve billion, seven hundred seventy-eight million, five hundred forty-five thousand, nine hundred twenty".