1619201287872 has 672 divisors, whose sum is σ = 5638336704000. Its totient is φ = 434452709376.

The previous prime is 1619201287849. The next prime is 1619201287933. The reversal of 1619201287872 is 2787821029161.

1619201287872 is a `hidden beast` number, since 1 + 619 + 2 + 0 + 12 + 8 + 7 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 1543566004 + ... + 1543567052.

It is an arithmetic number, because the mean of its divisors is an integer number (8390382000).

Almost surely, 2^{1619201287872} is an apocalyptic number.

1619201287872 is a gapful number since it is divisible by the number (12) 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 1619201287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819168352000).

1619201287872 is an abundant number, since it is smaller than the sum of its proper divisors (4019135416128).

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

1619201287872 is a wasteful number, since it uses less digits than its factorization.

1619201287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 1619201287872 in words is "one trillion, six hundred nineteen billion, two hundred one million, two hundred eighty-seven thousand, eight hundred seventy-two".