10281358771200 has 2772 divisors, whose sum is σ = 43724986200420. Its totient is φ = 2391175987200.

The previous prime is 10281358771049. The next prime is 10281358771259. The reversal of 10281358771200 is 217785318201.

10281358771200 is a `hidden beast` number, since 1 + 0 + 28 + 1 + 358 + 7 + 71 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 563724665856 + 9717634105344 = 750816^2 + 3117312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 65486361522 + ... + 65486361678.

Almost surely, 2^{10281358771200} is an apocalyptic number.

10281358771200 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 10281358771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21862493100210).

10281358771200 is an abundant number, since it is smaller than the sum of its proper divisors (33443627429220).

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

10281358771200 is a wasteful number, since it uses less digits than its factorization.

10281358771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10281358771200 in words is "ten trillion, two hundred eighty-one billion, three hundred fifty-eight million, seven hundred seventy-one thousand, two hundred".