10257828734436 has 24 divisors (see below), whose sum is σ = 23935301483520. Its totient is φ = 3419223706272.

The previous prime is 10257828734429. The next prime is 10257828734459. The reversal of 10257828734436 is 63443782875201.

10257828734436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10257828734436.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5749731 + ... + 7319498.

It is an arithmetic number, because the mean of its divisors is an integer number (997304228480).

Almost surely, 2^{10257828734436} is an apocalyptic number.

It is an amenable number.

10257828734436 is an abundant number, since it is smaller than the sum of its proper divisors (13677472749084).

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

10257828734436 is a wasteful number, since it uses less digits than its factorization.

10257828734436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13134643 (or 13134641 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 10257828734436 in words is "ten trillion, two hundred fifty-seven billion, eight hundred twenty-eight million, seven hundred thirty-four thousand, four hundred thirty-six".