4895765187012 has 384 divisors, whose sum is σ = 15499223040000. Its totient is φ = 1305307695744.

The previous prime is 4895765186989. The next prime is 4895765187017. The reversal of 4895765187012 is 2107815675984.

4895765187012 is a `hidden beast` number, since 4 + 8 + 9 + 576 + 51 + 8 + 7 + 0 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4895765187017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502692039 + ... + 502701777.

It is an arithmetic number, because the mean of its divisors is an integer number (40362560000).

Almost surely, 2^{4895765187012} is an apocalyptic number.

4895765187012 is a gapful number since it is divisible by the number (42) 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 4895765187012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749611520000).

4895765187012 is an abundant number, since it is smaller than the sum of its proper divisors (10603457852988).

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

4895765187012 is a wasteful number, since it uses less digits than its factorization.

4895765187012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 4895765187012 in words is "four trillion, eight hundred ninety-five billion, seven hundred sixty-five million, one hundred eighty-seven thousand, twelve".