16277577668352 has 2880 divisors, whose sum is σ = 69022912831488. Its totient is φ = 3678732288000.

The previous prime is 16277577668237. The next prime is 16277577668389. The reversal of 16277577668352 is 25386677577261.

16277577668352 is a `hidden beast` number, since 16 + 2 + 7 + 7 + 577 + 6 + 6 + 8 + 35 + 2 = 666.

16277577668352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26381811148 + ... + 26381811764.

Almost surely, 2^{16277577668352} is an apocalyptic number.

16277577668352 is a gapful number since it is divisible by the number (12) 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 16277577668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34511456415744).

16277577668352 is an abundant number, since it is smaller than the sum of its proper divisors (52745335163136).

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

16277577668352 is a wasteful number, since it uses less digits than its factorization.

16277577668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 725 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 72.

The spelling of 16277577668352 in words is "sixteen trillion, two hundred seventy-seven billion, five hundred seventy-seven million, six hundred sixty-eight thousand, three hundred fifty-two".