12623057280 has 256 divisors, whose sum is σ = 45378086400. Its totient is φ = 3315603456.

The previous prime is 12623057261. The next prime is 12623057281. The reversal of 12623057280 is 8275032621.

12623057280 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 3 + 0 + 572 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623057281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152309 + ... + 1163211.

It is an arithmetic number, because the mean of its divisors is an integer number (177258150).

Almost surely, 2^12623057280 is an apocalyptic number.

12623057280 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 12623057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22689043200).

12623057280 is an abundant number, since it is smaller than the sum of its proper divisors (32755029120).

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

12623057280 is a wasteful number, since it uses less digits than its factorization.

12623057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12623057280 in words is "twelve billion, six hundred twenty-three million, fifty-seven thousand, two hundred eighty".