61890111360 has 768 divisors, whose sum is σ = 272209766400. Its totient is φ = 12582420480.

The previous prime is 61890111347. The next prime is 61890111373. The reversal of 61890111360 is 6311109816.

It is a happy number.

61890111360 is a `hidden beast` number, since 6 + 189 + 0 + 111 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (61890111347) and next prime (61890111373).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 20843956 + ... + 20846924.

It is an arithmetic number, because the mean of its divisors is an integer number (354439800).

Almost surely, 2^61890111360 is an apocalyptic number.

61890111360 is a gapful number since it is divisible by the number (60) 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 61890111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136104883200).

61890111360 is an abundant number, since it is smaller than the sum of its proper divisors (210319655040).

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

61890111360 is a wasteful number, since it uses less digits than its factorization.

61890111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 61890111360 in words is "sixty-one billion, eight hundred ninety million, one hundred eleven thousand, three hundred sixty".