16288540956000 has 576 divisors, whose sum is σ = 61690755409920. Its totient is φ = 4055895244800.

The previous prime is 16288540955903. The next prime is 16288540956049. The reversal of 16288540956000 is 65904588261.

16288540956000 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 8 + 540 + 95 + 6 + 0 + 0 + 0 = 666.

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, 77619216 + ... + 77828784.

It is an arithmetic number, because the mean of its divisors is an integer number (107102005920).

Almost surely, 2^{16288540956000} is an apocalyptic number.

16288540956000 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 16288540956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30845377704960).

16288540956000 is an abundant number, since it is smaller than the sum of its proper divisors (45402214453920).

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

16288540956000 is a wasteful number, since it uses less digits than its factorization.

16288540956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209744 (or 209723 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 16288540956000 in words is "sixteen trillion, two hundred eighty-eight billion, five hundred forty million, nine hundred fifty-six thousand".