10240625387736 has 128 divisors (see below), whose sum is σ = 29229070310400. Its totient is φ = 3319684041600.

The previous prime is 10240625387711. The next prime is 10240625387749. The reversal of 10240625387736 is 63778352604201.

It is a happy number.

10240625387736 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 6 + 2 + 538 + 77 + 36 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 16339761 + ... + 16954911.

It is an arithmetic number, because the mean of its divisors is an integer number (228352111800).

Almost surely, 2^{10240625387736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240625387736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614535155200).

10240625387736 is an abundant number, since it is smaller than the sum of its proper divisors (18988444922664).

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

10240625387736 is a wasteful number, since it uses less digits than its factorization.

10240625387736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617286 (or 617276 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10240625387736 in words is "ten trillion, two hundred forty billion, six hundred twenty-five million, three hundred eighty-seven thousand, seven hundred thirty-six".