10204456266000 has 240 divisors, whose sum is σ = 35662223803440. Its totient is φ = 2719549900800.

The previous prime is 10204456265959. The next prime is 10204456266023. The reversal of 10204456266000 is 66265440201.

10204456266000 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 45 + 6 + 2 + 6 + 600 + 0 = 666.

10204456266000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2543540143104 + 7660916122896 = 1594848^2 + 2767836^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×10204456266000³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29872164 + ... + 30211836.

It is an arithmetic number, because the mean of its divisors is an integer number (148592599181).

Almost surely, 2^{10204456266000} is an apocalyptic number.

10204456266000 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 10204456266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831111901720).

10204456266000 is an abundant number, since it is smaller than the sum of its proper divisors (25457767537440).

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

10204456266000 is a wasteful number, since it uses less digits than its factorization.

10204456266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341371 (or 341352 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10204456266000 in words is "ten trillion, two hundred four billion, four hundred fifty-six million, two hundred sixty-six thousand".