61184607120 has 1600 divisors, whose sum is σ = 283928494080. Its totient is φ = 11851370496.

The previous prime is 61184607091. The next prime is 61184607149. The reversal of 61184607120 is 2170648116.

It is a happy number.

61184607120 is a `hidden beast` number, since 61 + 18 + 460 + 7 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (61184607091) and next prime (61184607149).

It is a super-2 number, since 2×61184607120² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 481768497 + ... + 481768623.

Almost surely, 2^61184607120 is an apocalyptic number.

61184607120 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 61184607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141964247040).

61184607120 is an abundant number, since it is smaller than the sum of its proper divisors (222743886960).

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

61184607120 is a wasteful number, since it uses less digits than its factorization.

61184607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 61184607120 in words is "sixty-one billion, one hundred eighty-four million, six hundred seven thousand, one hundred twenty".