1872535854816 has 384 divisors, whose sum is σ = 6042126182400. Its totient is φ = 559450644480.

The previous prime is 1872535854811. The next prime is 1872535854829. The reversal of 1872535854816 is 6184585352781.

It is a happy number.

1872535854816 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 5 + 3 + 585 + 48 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872535854811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715526340 + ... + 715528956.

It is an arithmetic number, because the mean of its divisors is an integer number (15734703600).

Almost surely, 2^{1872535854816} is an apocalyptic number.

1872535854816 is a gapful number since it is divisible by the number (16) 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 1872535854816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021063091200).

1872535854816 is an abundant number, since it is smaller than the sum of its proper divisors (4169590327584).

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

1872535854816 is a wasteful number, since it uses less digits than its factorization.

1872535854816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3665 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 63.

The spelling of 1872535854816 in words is "one trillion, eight hundred seventy-two billion, five hundred thirty-five million, eight hundred fifty-four thousand, eight hundred sixteen".