61020361100160 has 5760 divisors, whose sum is σ = 301353192201600. Its totient is φ = 11732856791040.

The previous prime is 61020361100119. The next prime is 61020361100213. The reversal of 61020361100160 is 6100116302016.

61020361100160 is a `hidden beast` number, since 6 + 10 + 20 + 3 + 611 + 0 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1419078165099 + ... + 1419078165141.

It is an arithmetic number, because the mean of its divisors is an integer number (52318262535).

Almost surely, 2^{61020361100160} is an apocalyptic number.

61020361100160 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 61020361100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150676596100800).

61020361100160 is an abundant number, since it is smaller than the sum of its proper divisors (240332831101440).

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

61020361100160 is an equidigital number, since it uses as much as digits as its factorization.

61020361100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 61020361100160 its reverse (6100116302016), we get a palindrome (67120477402176).

The spelling of 61020361100160 in words is "sixty-one trillion, twenty billion, three hundred sixty-one million, one hundred thousand, one hundred sixty".