12985650720 has 576 divisors, whose sum is σ = 52646630400. Its totient is φ = 2912716800.

The previous prime is 12985650703. The next prime is 12985650731. The reversal of 12985650720 is 2705658921.

12985650720 is a `hidden beast` number, since 1 + 2 + 98 + 56 + 507 + 2 + 0 = 666.

It is a super-3 number, since 3×12985650720³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30128905 + ... + 30129335.

It is an arithmetic number, because the mean of its divisors is an integer number (91400400).

Almost surely, 2^12985650720 is an apocalyptic number.

12985650720 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 12985650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323315200).

12985650720 is an abundant number, since it is smaller than the sum of its proper divisors (39660979680).

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

12985650720 is a wasteful number, since it uses less digits than its factorization.

12985650720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12985650720 in words is "twelve billion, nine hundred eighty-five million, six hundred fifty thousand, seven hundred twenty".