10254130848000 has 2880 divisors, whose sum is σ = 43635931282944. Its totient is φ = 2372198400000.

The previous prime is 10254130847971. The next prime is 10254130848001. The reversal of 10254130848000 is 84803145201.

10254130848000 is a `hidden beast` number, since 1 + 0 + 2 + 541 + 30 + 8 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×10254130848000³ (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 not an unprimeable number, because it can be changed into a prime (10254130848001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 78275807935 + ... + 78275808065.

Almost surely, 2^{10254130848000} is an apocalyptic number.

10254130848000 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 10254130848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21817965641472).

10254130848000 is an abundant number, since it is smaller than the sum of its proper divisors (33381800434944).

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

10254130848000 is a wasteful number, since it uses less digits than its factorization.

10254130848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10254130848000 in words is "ten trillion, two hundred fifty-four billion, one hundred thirty million, eight hundred forty-eight thousand".