61020466053120 has 2736 divisors, whose sum is σ = 269235551220480. Its totient is φ = 12496945545216.

The previous prime is 61020466053083. The next prime is 61020466053121. The reversal of 61020466053120 is 2135066402016.

61020466053120 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 0 + 46 + 60 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2736).

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 (61020466053121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 685623214036 + ... + 685623214124.

Almost surely, 2^{61020466053120} is an apocalyptic number.

61020466053120 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 61020466053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134617775610240).

61020466053120 is an abundant number, since it is smaller than the sum of its proper divisors (208215085167360).

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

61020466053120 is an equidigital number, since it uses as much as digits as its factorization.

61020466053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 61020466053120 in words is "sixty-one trillion, twenty billion, four hundred sixty-six million, fifty-three thousand, one hundred twenty".