10206424214580 has 192 divisors, whose sum is σ = 32832772761600. Its totient is φ = 2342920250880.

The previous prime is 10206424214579. The next prime is 10206424214633. The reversal of 10206424214580 is 8541242460201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25748569 + ... + 26141951.

It is an arithmetic number, because the mean of its divisors is an integer number (171004024800).

Almost surely, 2^{10206424214580} is an apocalyptic number.

10206424214580 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 10206424214580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416386380800).

10206424214580 is an abundant number, since it is smaller than the sum of its proper divisors (22626348547020).

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

10206424214580 is a wasteful number, since it uses less digits than its factorization.

10206424214580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395494 (or 395492 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

Adding to 10206424214580 its reverse (8541242460201), we get a palindrome (18747666674781).

The spelling of 10206424214580 in words is "ten trillion, two hundred six billion, four hundred twenty-four million, two hundred fourteen thousand, five hundred eighty".