16057875456 has 462 divisors, whose sum is σ = 56113264680. Its totient is φ = 4577513472.

The previous prime is 16057875439. The next prime is 16057875467. The reversal of 16057875456 is 65457875061.

It is a happy number.

16057875456 is a `hidden beast` number, since 1 + 60 + 57 + 87 + 5 + 456 = 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 polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36578085 + ... + 36578523.

Almost surely, 2^16057875456 is an apocalyptic number.

16057875456 is a gapful number since it is divisible by the number (16) 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 16057875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28056632340).

16057875456 is an abundant number, since it is smaller than the sum of its proper divisors (40055389224).

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

16057875456 is an frugal number, since it uses more digits than its factorization.

16057875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 16057875456 in words is "sixteen billion, fifty-seven million, eight hundred seventy-five thousand, four hundred fifty-six".