10062007265280 has 384 divisors, whose sum is σ = 33044464252800. Its totient is φ = 2612425654272.

The previous prime is 10062007265257. The next prime is 10062007265293. The reversal of 10062007265280 is 8256270026001.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418732306 + ... + 418756334.

It is an arithmetic number, because the mean of its divisors is an integer number (86053292325).

Almost surely, 2^{10062007265280} is an apocalyptic number.

10062007265280 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 10062007265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522232126400).

10062007265280 is an abundant number, since it is smaller than the sum of its proper divisors (22982456987520).

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

10062007265280 is a wasteful number, since it uses less digits than its factorization.

10062007265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24419 (or 24399 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10062007265280 in words is "ten trillion, sixty-two billion, seven million, two hundred sixty-five thousand, two hundred eighty".