4871953511712 has 288 divisors, whose sum is σ = 16933015189440. Its totient is φ = 1358035338240.

The previous prime is 4871953511707. The next prime is 4871953511797. The reversal of 4871953511712 is 2171153591784.

It is a happy number.

4871953511712 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 9 + 53 + 511 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332383 + ... + 3139169.

It is an arithmetic number, because the mean of its divisors is an integer number (58795191630).

Almost surely, 2^{4871953511712} is an apocalyptic number.

4871953511712 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 4871953511712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466507594720).

4871953511712 is an abundant number, since it is smaller than the sum of its proper divisors (12061061677728).

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

4871953511712 is a wasteful number, since it uses less digits than its factorization.

4871953511712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806861 (or 2806840 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 4871953511712 in words is "four trillion, eight hundred seventy-one billion, nine hundred fifty-three million, five hundred eleven thousand, seven hundred twelve".