10521612288 has 468 divisors, whose sum is σ = 35527839984. Its totient is φ = 3085516800.

The previous prime is 10521612253. The next prime is 10521612313. The reversal of 10521612288 is 88221612501.

10521612288 is a `hidden beast` number, since 1 + 0 + 521 + 6 + 122 + 8 + 8 = 666.

It is a super-2 number, since 2×10521612288² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339406833 + ... + 339406863.

It is an arithmetic number, because the mean of its divisors is an integer number (75914188).

Almost surely, 2^10521612288 is an apocalyptic number.

10521612288 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 10521612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763919992).

10521612288 is an abundant number, since it is smaller than the sum of its proper divisors (25006227696).

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

10521612288 is an frugal number, since it uses more digits than its factorization.

10521612288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10521612288 in words is "ten billion, five hundred twenty-one million, six hundred twelve thousand, two hundred eighty-eight".