12851887601952 has 576 divisors, whose sum is σ = 44540590348800. Its totient is φ = 3507070887936.

The previous prime is 12851887601947. The next prime is 12851887601977. The reversal of 12851887601952 is 25910678815821.

12851887601952 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 18 + 8 + 7 + 601 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12851887601952.

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, 1665395598 + ... + 1665403314.

It is an arithmetic number, because the mean of its divisors is an integer number (77327413800).

Almost surely, 2^{12851887601952} is an apocalyptic number.

12851887601952 is a gapful number since it is divisible by the number (12) 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 12851887601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22270295174400).

12851887601952 is an abundant number, since it is smaller than the sum of its proper divisors (31688702746848).

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

12851887601952 is a wasteful number, since it uses less digits than its factorization.

12851887601952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 63.

The spelling of 12851887601952 in words is "twelve trillion, eight hundred fifty-one billion, eight hundred eighty-seven million, six hundred one thousand, nine hundred fifty-two".