16261354978560 has 216 divisors, whose sum is σ = 56265648533640. Its totient is φ = 4336125935616.

The previous prime is 16261354978529. The next prime is 16261354978567. The reversal of 16261354978560 is 6587945316261.

It is a happy number.

16261354978560 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 1 + 3 + 5 + 497 + 85 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7351559813376 + 8909795165184 = 2711376^2 + 2984928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16261354978567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354896772 + ... + 354942588.

It is a 1-persistent number, because it is pandigital, but 2⋅16261354978560 = 32522709957120 is not.

Almost surely, 2^{16261354978560} is an apocalyptic number.

16261354978560 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 16261354978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28132824266820).

16261354978560 is an abundant number, since it is smaller than the sum of its proper divisors (40004293555080).

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

16261354978560 is a wasteful number, since it uses less digits than its factorization.

16261354978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76653 (or 76636 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 16261354978560 in words is "sixteen trillion, two hundred sixty-one billion, three hundred fifty-four million, nine hundred seventy-eight thousand, five hundred sixty".