10206425224464 has 240 divisors, whose sum is σ = 31091559887808. Its totient is φ = 2876284207104.

The previous prime is 10206425224459. The next prime is 10206425224469. The reversal of 10206425224464 is 46442252460201.

It is an interprime number because it is at equal distance from previous prime (10206425224459) and next prime (10206425224469).

It is a super-2 number, since 2×10206425224464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10206425224469) 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, 120405904 + ... + 120490640.

Almost surely, 2^{10206425224464} is an apocalyptic number.

10206425224464 is a gapful number since it is divisible by the number (14) 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 10206425224464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545779943904).

10206425224464 is an abundant number, since it is smaller than the sum of its proper divisors (20885134663344).

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

10206425224464 is a wasteful number, since it uses less digits than its factorization.

10206425224464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85462 (or 85449 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 10206425224464 its reverse (46442252460201), we get a palindrome (56648677684665).

The spelling of 10206425224464 in words is "ten trillion, two hundred six billion, four hundred twenty-five million, two hundred twenty-four thousand, four hundred sixty-four".