16202872276416 has 672 divisors, whose sum is σ = 56725999303680. Its totient is φ = 4519949672448.

The previous prime is 16202872276397. The next prime is 16202872276511. The reversal of 16202872276416 is 61467227820261.

16202872276416 is a `hidden beast` number, since 1 + 62 + 0 + 2 + 87 + 22 + 76 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 1723155171 + ... + 1723164573.

It is an arithmetic number, because the mean of its divisors is an integer number (84413689440).

Almost surely, 2^{16202872276416} is an apocalyptic number.

16202872276416 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 16202872276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28362999651840).

16202872276416 is an abundant number, since it is smaller than the sum of its proper divisors (40523127027264).

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

16202872276416 is a wasteful number, since it uses less digits than its factorization.

16202872276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 16202872276416 in words is "sixteen trillion, two hundred two billion, eight hundred seventy-two million, two hundred seventy-six thousand, four hundred sixteen".