52467158016 has 528 divisors, whose sum is σ = 189233588544. Its totient is φ = 13632012288.

The previous prime is 52467157991. The next prime is 52467158053. The reversal of 52467158016 is 61085176425.

52467158016 is a `hidden beast` number, since 5 + 2 + 4 + 67 + 1 + 580 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61221460 + ... + 61222316.

It is an arithmetic number, because the mean of its divisors is an integer number (358396948).

Almost surely, 2^52467158016 is an apocalyptic number.

52467158016 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 52467158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94616794272).

52467158016 is an abundant number, since it is smaller than the sum of its proper divisors (136766430528).

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

52467158016 is a wasteful number, since it uses less digits than its factorization.

52467158016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 52467158016 in words is "fifty-two billion, four hundred sixty-seven million, one hundred fifty-eight thousand, sixteen".