16228691297280 has 4224 divisors, whose sum is σ = 79487186042880. Its totient is φ = 3059770982400.

The previous prime is 16228691297261. The next prime is 16228691297321. The reversal of 16228691297280 is 8279219682261.

16228691297280 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 8 + 69 + 1 + 297 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61706050429 + ... + 61706050691.

It is an arithmetic number, because the mean of its divisors is an integer number (18817989120).

Almost surely, 2^{16228691297280} is an apocalyptic number.

16228691297280 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 16228691297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39743593021440).

16228691297280 is an abundant number, since it is smaller than the sum of its proper divisors (63258494745600).

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

16228691297280 is a wasteful number, since it uses less digits than its factorization.

16228691297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 16228691297280 in words is "sixteen trillion, two hundred twenty-eight billion, six hundred ninety-one million, two hundred ninety-seven thousand, two hundred eighty".