5082151890816 has 3072 divisors, whose sum is σ = 21916094054400. Its totient is φ = 1138107801600.

The previous prime is 5082151890773. The next prime is 5082151890821. The reversal of 5082151890816 is 6180981512805.

5082151890816 is a `hidden beast` number, since 5 + 0 + 8 + 21 + 518 + 90 + 8 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71579604061 + ... + 71579604131.

It is an arithmetic number, because the mean of its divisors is an integer number (7134145200).

Almost surely, 2^{5082151890816} is an apocalyptic number.

5082151890816 is a gapful number since it is divisible by the number (56) 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 5082151890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10958047027200).

5082151890816 is an abundant number, since it is smaller than the sum of its proper divisors (16833942163584).

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

5082151890816 is a wasteful number, since it uses less digits than its factorization.

5082151890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 5082151890816 in words is "five trillion, eighty-two billion, one hundred fifty-one million, eight hundred ninety thousand, eight hundred sixteen".