16057426936320 has 1920 divisors, whose sum is σ = 72225249288192. Its totient is φ = 3321608601600.

The previous prime is 16057426936319. The next prime is 16057426936399. The reversal of 16057426936320 is 2363962475061.

16057426936320 is a `hidden beast` number, since 1 + 6 + 0 + 57 + 4 + 269 + 3 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12980942742 + ... + 12980943978.

Almost surely, 2^{16057426936320} is an apocalyptic number.

16057426936320 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 16057426936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36112624644096).

16057426936320 is an abundant number, since it is smaller than the sum of its proper divisors (56167822351872).

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

16057426936320 is a wasteful number, since it uses less digits than its factorization.

16057426936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 16057426936320 in words is "sixteen trillion, fifty-seven billion, four hundred twenty-six million, nine hundred thirty-six thousand, three hundred twenty".