10522514475648 has 1152 divisors, whose sum is σ = 39248558294400. Its totient is φ = 2639798599680.

The previous prime is 10522514475619. The next prime is 10522514475653. The reversal of 10522514475648 is 84657441522501.

10522514475648 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 25 + 14 + 47 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×10522514475648³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10522514475594 and 10522514475603.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2973299863 + ... + 2973303401.

It is an arithmetic number, because the mean of its divisors is an integer number (34069929075).

Almost surely, 2^{10522514475648} is an apocalyptic number.

10522514475648 is a gapful number since it is divisible by the number (18) 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 10522514475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624279147200).

10522514475648 is an abundant number, since it is smaller than the sum of its proper divisors (28726043818752).

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

10522514475648 is a wasteful number, since it uses less digits than its factorization.

10522514475648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 10522514475648 in words is "ten trillion, five hundred twenty-two billion, five hundred fourteen million, four hundred seventy-five thousand, six hundred forty-eight".