10265055989760 has 1664 divisors, whose sum is σ = 43885097625600. Its totient is φ = 2242911928320.

The previous prime is 10265055989743. The next prime is 10265055989791. The reversal of 10265055989760 is 6798955056201.

10265055989760 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 0 + 559 + 8 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3400149531 + ... + 3400152549.

Almost surely, 2^{10265055989760} is an apocalyptic number.

10265055989760 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 10265055989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942548812800).

10265055989760 is an abundant number, since it is smaller than the sum of its proper divisors (33620041635840).

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

10265055989760 is a wasteful number, since it uses less digits than its factorization.

10265055989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 10265055989760 in words is "ten trillion, two hundred sixty-five billion, fifty-five million, nine hundred eighty-nine thousand, seven hundred sixty".