5102081374464 has 864 divisors, whose sum is σ = 17553539727360. Its totient is φ = 1467312537600.

The previous prime is 5102081374427. The next prime is 5102081374493. The reversal of 5102081374464 is 4644731802015.

5102081374464 is a `hidden beast` number, since 5 + 10 + 208 + 1 + 374 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622884609 + ... + 622892799.

Almost surely, 2^{5102081374464} is an apocalyptic number.

5102081374464 is a gapful number since it is divisible by the number (54) 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 5102081374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776769863680).

5102081374464 is an abundant number, since it is smaller than the sum of its proper divisors (12451458352896).

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

5102081374464 is a wasteful number, since it uses less digits than its factorization.

5102081374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5102081374464 in words is "five trillion, one hundred two billion, eighty-one million, three hundred seventy-four thousand, four hundred sixty-four".