52908001526016 has 3456 divisors, whose sum is σ = 211419586560000. Its totient is φ = 12599323656192.

The previous prime is 52908001525991. The next prime is 52908001526099. The reversal of 52908001526016 is 61062510080925.

52908001526016 is a `hidden beast` number, since 5 + 29 + 0 + 8 + 0 + 0 + 15 + 2 + 601 + 6 = 666.

It is a super-2 number, since 2×52908001526016² (a number of 28 digits) contains 22 as substring.

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, 669721538265 + ... + 669721538343.

Almost surely, 2^{52908001526016} is an apocalyptic number.

52908001526016 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 52908001526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105709793280000).

52908001526016 is an abundant number, since it is smaller than the sum of its proper divisors (158511585033984).

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

52908001526016 is a wasteful number, since it uses less digits than its factorization.

52908001526016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 52908001526016 in words is "fifty-two trillion, nine hundred eight billion, one million, five hundred twenty-six thousand, sixteen".