10257828734340 has 576 divisors, whose sum is σ = 36882229063680. Its totient is φ = 2280814848000.

The previous prime is 10257828734287. The next prime is 10257828734399. The reversal of 10257828734340 is 4343782875201.

It is a happy number.

10257828734340 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 82 + 87 + 3 + 434 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202031637 + ... + 202082403.

It is an arithmetic number, because the mean of its divisors is an integer number (64031647680).

Almost surely, 2^{10257828734340} is an apocalyptic number.

10257828734340 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 10257828734340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441114531840).

10257828734340 is an abundant number, since it is smaller than the sum of its proper divisors (26624400329340).

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

10257828734340 is a wasteful number, since it uses less digits than its factorization.

10257828734340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50984 (or 50979 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 10257828734340 in words is "ten trillion, two hundred fifty-seven billion, eight hundred twenty-eight million, seven hundred thirty-four thousand, three hundred forty".