10522512000 has 1536 divisors, whose sum is σ = 51432675840. Its totient is φ = 1990656000.

The previous prime is 10522511971. The next prime is 10522512023. The reversal of 10522512000 is 21522501.

It is a super-2 number, since 2×10522512000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 144143964 + ... + 144144036.

It is an arithmetic number, because the mean of its divisors is an integer number (33484815).

Almost surely, 2^10522512000 is an apocalyptic number.

10522512000 is a gapful number since it is divisible by the number (10) 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 10522512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25716337920).

10522512000 is an abundant number, since it is smaller than the sum of its proper divisors (40910163840).

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

10522512000 is a wasteful number, since it uses less digits than its factorization.

10522512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 10522512000 in words is "ten billion, five hundred twenty-two million, five hundred twelve thousand".