10062210662400 has 432 divisors, whose sum is σ = 35832108567024. Its totient is φ = 2476820398080.

The previous prime is 10062210662381. The next prime is 10062210662407. The reversal of 10062210662400 is 426601226001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10062210662407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127755832 + ... + 127834568.

It is an arithmetic number, because the mean of its divisors is an integer number (82944695757).

Almost surely, 2^{10062210662400} is an apocalyptic number.

10062210662400 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 10062210662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916054283512).

10062210662400 is an abundant number, since it is smaller than the sum of its proper divisors (25769897904624).

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

10062210662400 is an frugal number, since it uses more digits than its factorization.

10062210662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78797 (or 78760 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10062210662400 its reverse (426601226001), we get a palindrome (10488811888401).

The spelling of 10062210662400 in words is "ten trillion, sixty-two billion, two hundred ten million, six hundred sixty-two thousand, four hundred".