16001598003840 has 320 divisors, whose sum is σ = 57206947248000. Its totient is φ = 4262436919296.

The previous prime is 16001598003791. The next prime is 16001598003871. The reversal of 16001598003840 is 4830089510061.

16001598003840 is a `hidden beast` number, since 1 + 600 + 1 + 5 + 9 + 8 + 0 + 0 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×16001598003840² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47473021 + ... + 47808899.

It is an arithmetic number, because the mean of its divisors is an integer number (178771710150).

Almost surely, 2^{16001598003840} is an apocalyptic number.

16001598003840 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 16001598003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28603473624000).

16001598003840 is an abundant number, since it is smaller than the sum of its proper divisors (41205349244160).

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

16001598003840 is an equidigital number, since it uses as much as digits as its factorization.

16001598003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336829 (or 336808 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 16001598003840 in words is "sixteen trillion, one billion, five hundred ninety-eight million, three thousand, eight hundred forty".