16801264961280 has 576 divisors, whose sum is σ = 60040541030400. Its totient is φ = 4448937000960.

The previous prime is 16801264961071. The next prime is 16801264961281. The reversal of 16801264961280 is 8216946210861.

16801264961280 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 1 + 26 + 496 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16801264961281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2968943091 + ... + 2968948749.

It is an arithmetic number, because the mean of its divisors is an integer number (104237050400).

Almost surely, 2^{16801264961280} is an apocalyptic number.

16801264961280 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 16801264961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30020270515200).

16801264961280 is an abundant number, since it is smaller than the sum of its proper divisors (43239276069120).

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

16801264961280 is a wasteful number, since it uses less digits than its factorization.

16801264961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 16801264961280 in words is "sixteen trillion, eight hundred one billion, two hundred sixty-four million, nine hundred sixty-one thousand, two hundred eighty".