10254750851200 has 192 divisors, whose sum is σ = 25720325222400. Its totient is φ = 4039365058560.

The previous prime is 10254750851197. The next prime is 10254750851221. The reversal of 10254750851200 is 215805745201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96769444 + ... + 96875356.

It is an arithmetic number, because the mean of its divisors is an integer number (133960027200).

Almost surely, 2^{10254750851200} is an apocalyptic number.

10254750851200 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 10254750851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860162611200).

10254750851200 is an abundant number, since it is smaller than the sum of its proper divisors (15465574371200).

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

10254750851200 is a wasteful number, since it uses less digits than its factorization.

10254750851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106399 (or 106382 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 10254750851200 in words is "ten trillion, two hundred fifty-four billion, seven hundred fifty million, eight hundred fifty-one thousand, two hundred".