1868972185080 has 3072 divisors, whose sum is σ = 8910149713920. Its totient is φ = 339954278400.

The previous prime is 1868972185063. The next prime is 1868972185099. The reversal of 1868972185080 is 805812798681.

1868972185080 is a `hidden beast` number, since 18 + 6 + 8 + 97 + 21 + 8 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1868972184999 and 1868972185017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 27895107207 + ... + 27895107273.

It is an arithmetic number, because the mean of its divisors is an integer number (2900439360).

Almost surely, 2^{1868972185080} is an apocalyptic number.

1868972185080 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 1868972185080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455074856960).

1868972185080 is an abundant number, since it is smaller than the sum of its proper divisors (7041177528840).

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

1868972185080 is a wasteful number, since it uses less digits than its factorization.

1868972185080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 1868972185080 in words is "one trillion, eight hundred sixty-eight billion, nine hundred seventy-two million, one hundred eighty-five thousand, eighty".