61084059120 has 800 divisors, whose sum is σ = 262004183040. Its totient is φ = 12800540160.

The previous prime is 61084059119. The next prime is 61084059121. The reversal of 61084059120 is 2195048016.

61084059120 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 40 + 591 + 20 = 666.

61084059120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61084059119) and next prime (61084059121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61084059121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1970453505 + ... + 1970453535.

Almost surely, 2^61084059120 is an apocalyptic number.

61084059120 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 61084059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131002091520).

61084059120 is an abundant number, since it is smaller than the sum of its proper divisors (200920123920).

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

61084059120 is an equidigital number, since it uses as much as digits as its factorization.

61084059120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61084059120 in words is "sixty-one billion, eighty-four million, fifty-nine thousand, one hundred twenty".