10821952512 has 616 divisors, whose sum is σ = 39377729600. Its totient is φ = 2902376448.

The previous prime is 10821952487. The next prime is 10821952517. The reversal of 10821952512 is 21525912801.

10821952512 is a `hidden beast` number, since 1 + 0 + 82 + 19 + 52 + 512 = 666.

It is a super-3 number, since 3×10821952512³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10821952517) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99283914 + ... + 99284022.

Almost surely, 2^10821952512 is an apocalyptic number.

10821952512 is a gapful number since it is divisible by the number (12) 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 10821952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688864800).

10821952512 is an abundant number, since it is smaller than the sum of its proper divisors (28555777088).

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

10821952512 is an equidigital number, since it uses as much as digits as its factorization.

10821952512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10821952512 in words is "ten billion, eight hundred twenty-one million, nine hundred fifty-two thousand, five hundred twelve".