10250868738240 has 1120 divisors, whose sum is σ = 41656465287360. Its totient is φ = 2370441314304.

The previous prime is 10250868738199. The next prime is 10250868738241. The reversal of 10250868738240 is 4283786805201.

10250868738240 is a `hidden beast` number, since 1 + 0 + 2 + 508 + 6 + 87 + 38 + 24 + 0 = 666.

It is a super-2 number, since 2×10250868738240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10250868738241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3855158031 + ... + 3855160689.

It is an arithmetic number, because the mean of its divisors is an integer number (37193272578).

Almost surely, 2^{10250868738240} is an apocalyptic number.

10250868738240 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 10250868738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20828232643680).

10250868738240 is an abundant number, since it is smaller than the sum of its proper divisors (31405596549120).

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

10250868738240 is a wasteful number, since it uses less digits than its factorization.

10250868738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 10250868738240 in words is "ten trillion, two hundred fifty billion, eight hundred sixty-eight million, seven hundred thirty-eight thousand, two hundred forty".