10023025265280 has 192 divisors, whose sum is σ = 34621253222400. Its totient is φ = 2671996336128.

The previous prime is 10023025265233. The next prime is 10023025265293. The reversal of 10023025265280 is 8256252032001.

It is a happy number.

10023025265280 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 0 + 2 + 526 + 52 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10023025265280² (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 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 23 ways as a sum of consecutive naturals, for example, 18855297 + ... + 19379583.

It is an arithmetic number, because the mean of its divisors is an integer number (180319027200).

Almost surely, 2^{10023025265280} is an apocalyptic number.

10023025265280 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 10023025265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310626611200).

10023025265280 is an abundant number, since it is smaller than the sum of its proper divisors (24598227957120).

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

10023025265280 is a wasteful number, since it uses less digits than its factorization.

10023025265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527631 (or 527616 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10023025265280 its reverse (8256252032001), we get a palindrome (18279277297281).

The spelling of 10023025265280 in words is "ten trillion, twenty-three billion, twenty-five million, two hundred sixty-five thousand, two hundred eighty".