12572951040 has 360 divisors, whose sum is σ = 47165435460. Its totient is φ = 3093921792.

The previous prime is 12572951033. The next prime is 12572951071. The reversal of 12572951040 is 4015927521.

It can be written as a sum of positive squares in 6 ways, for example, as 606341376 + 11966609664 = 24624^2 + 109392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 12572950986 and 12572951004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3892146 + ... + 3895374.

Almost surely, 2^12572951040 is an apocalyptic number.

12572951040 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 12572951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23582717730).

12572951040 is an abundant number, since it is smaller than the sum of its proper divisors (34592484420).

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

12572951040 is a wasteful number, since it uses less digits than its factorization.

12572951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12572951040 in words is "twelve billion, five hundred seventy-two million, nine hundred fifty-one thousand, forty".