16257270960 has 720 divisors, whose sum is σ = 67920652800. Its totient is φ = 3464487936.

The previous prime is 16257270959. The next prime is 16257270961. The reversal of 16257270960 is 6907275261.

16257270960 is a `hidden beast` number, since 1 + 6 + 2 + 572 + 70 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16257270959) and next prime (16257270961).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16257270961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52955127 + ... + 52955433.

It is an arithmetic number, because the mean of its divisors is an integer number (94334240).

Almost surely, 2^16257270960 is an apocalyptic number.

16257270960 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 16257270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33960326400).

16257270960 is an abundant number, since it is smaller than the sum of its proper divisors (51663381840).

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

16257270960 is a wasteful number, since it uses less digits than its factorization.

16257270960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 16257270960 in words is "sixteen billion, two hundred fifty-seven million, two hundred seventy thousand, nine hundred sixty".