10521210240 has 384 divisors, whose sum is σ = 38795047200. Its totient is φ = 2618228736.

The previous prime is 10521210211. The next prime is 10521210247. The reversal of 10521210240 is 4201212501.

10521210240 is a `hidden beast` number, since 1 + 0 + 521 + 2 + 102 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10521210240² (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 not an unprimeable number, because it can be changed into a prime (10521210247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13610494 + ... + 13611266.

Almost surely, 2^10521210240 is an apocalyptic number.

10521210240 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 10521210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397523600).

10521210240 is an abundant number, since it is smaller than the sum of its proper divisors (28273836960).

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

10521210240 is a wasteful number, since it uses less digits than its factorization.

10521210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10521210240 its reverse (4201212501), we get a palindrome (14722422741).

The spelling of 10521210240 in words is "ten billion, five hundred twenty-one million, two hundred ten thousand, two hundred forty".