16012518359040 has 2160 divisors, whose sum is σ = 70582141773000. Its totient is φ = 3467372396544.

The previous prime is 16012518359017. The next prime is 16012518359183. The reversal of 16012518359040 is 4095381521061.

It is a happy number.

16012518359040 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 2 + 5 + 18 + 3 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 842764124151 + ... + 842764124169.

Almost surely, 2^{16012518359040} is an apocalyptic number.

16012518359040 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 16012518359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35291070886500).

16012518359040 is an abundant number, since it is smaller than the sum of its proper divisors (54569623413960).

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

16012518359040 is an frugal number, since it uses more digits than its factorization.

16012518359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 16012518359040 in words is "sixteen trillion, twelve billion, five hundred eighteen million, three hundred fifty-nine thousand, forty".