1872115144560 has 240 divisors, whose sum is σ = 6532654695840. Its totient is φ = 479891220480.

The previous prime is 1872115144511. The next prime is 1872115144579. The reversal of 1872115144560 is 654415112781.

It is a happy number.

1872115144560 is a `hidden beast` number, since 1 + 8 + 72 + 1 + 1 + 5 + 14 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1872115144560² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4542270 + ... + 4937250.

It is an arithmetic number, because the mean of its divisors is an integer number (27219394566).

Almost surely, 2^{1872115144560} is an apocalyptic number.

1872115144560 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 1872115144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266327347920).

1872115144560 is an abundant number, since it is smaller than the sum of its proper divisors (4660539551280).

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

1872115144560 is a wasteful number, since it uses less digits than its factorization.

1872115144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395256 (or 395247 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1872115144560 in words is "one trillion, eight hundred seventy-two billion, one hundred fifteen million, one hundred forty-four thousand, five hundred sixty".