1889716565880 has 768 divisors, whose sum is σ = 7561853107200. Its totient is φ = 416891059200.

The previous prime is 1889716565851. The next prime is 1889716565899. The reversal of 1889716565880 is 885656179881.

It is a super-2 number, since 2×1889716565880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1889716565799 and 1889716565808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120609807 + ... + 120625473.

It is an arithmetic number, because the mean of its divisors is an integer number (9846162900).

Almost surely, 2^{1889716565880} is an apocalyptic number.

1889716565880 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 1889716565880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780926553600).

1889716565880 is an abundant number, since it is smaller than the sum of its proper divisors (5672136541320).

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

1889716565880 is a wasteful number, since it uses less digits than its factorization.

1889716565880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15793 (or 15772 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 72.

The spelling of 1889716565880 in words is "one trillion, eight hundred eighty-nine billion, seven hundred sixteen million, five hundred sixty-five thousand, eight hundred eighty".