10642065225300 has 216 divisors, whose sum is σ = 34766252248000. Its totient is φ = 2823622053120.

The previous prime is 10642065225299. The next prime is 10642065225317. The reversal of 10642065225300 is 352256024601.

10642065225300 is a `hidden beast` number, since 1 + 0 + 6 + 42 + 0 + 65 + 22 + 530 + 0 = 666.

It is a super-2 number, since 2×10642065225300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3735336 + ... + 5936064.

Almost surely, 2^{10642065225300} is an apocalyptic number.

10642065225300 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 10642065225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383126124000).

10642065225300 is an abundant number, since it is smaller than the sum of its proper divisors (24124187022700).

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

10642065225300 is a wasteful number, since it uses less digits than its factorization.

10642065225300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200957 (or 2200938 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10642065225300 in words is "ten trillion, six hundred forty-two billion, sixty-five million, two hundred twenty-five thousand, three hundred".