16257071460000 has 960 divisors, whose sum is σ = 66222546001920. Its totient is φ = 3406717440000.

The previous prime is 16257071459891. The next prime is 16257071460059. The reversal of 16257071460000 is 6417075261.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 247347142 + ... + 247412858.

It is an arithmetic number, because the mean of its divisors is an integer number (68981818752).

Almost surely, 2^{16257071460000} is an apocalyptic number.

16257071460000 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 16257071460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33111273000960).

16257071460000 is an abundant number, since it is smaller than the sum of its proper divisors (49965474541920).

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

16257071460000 is a wasteful number, since it uses less digits than its factorization.

16257071460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65807 (or 65784 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 16257071460000 in words is "sixteen trillion, two hundred fifty-seven billion, seventy-one million, four hundred sixty thousand".