10502212200480 has 2304 divisors, whose sum is σ = 51603370721280. Its totient is φ = 1926407577600.

The previous prime is 10502212200479. The next prime is 10502212200499. The reversal of 10502212200480 is 8400221220501.

10502212200480 is a `hidden beast` number, since 10 + 50 + 2 + 2 + 122 + 0 + 0 + 480 = 666.

It is a super-2 number, since 2×10502212200480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2287562985 + ... + 2287567575.

It is an arithmetic number, because the mean of its divisors is an integer number (22397296320).

Almost surely, 2^{10502212200480} is an apocalyptic number.

10502212200480 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 10502212200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801685360640).

10502212200480 is an abundant number, since it is smaller than the sum of its proper divisors (41101158520800).

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

10502212200480 is a wasteful number, since it uses less digits than its factorization.

10502212200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10502212200480 its reverse (8400221220501), we get a palindrome (18902433420981).

The spelling of 10502212200480 in words is "ten trillion, five hundred two billion, two hundred twelve million, two hundred thousand, four hundred eighty".