61120819918080 has 2160 divisors, whose sum is σ = 253855925769600. Its totient is φ = 13998627422208.

The previous prime is 61120819918049. The next prime is 61120819918097. The reversal of 61120819918080 is 8081991802116.

61120819918080 is a `hidden beast` number, since 611 + 2 + 0 + 8 + 1 + 9 + 9 + 18 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14911151871 + ... + 14911155969.

It is an arithmetic number, because the mean of its divisors is an integer number (117525891560).

Almost surely, 2^{61120819918080} is an apocalyptic number.

61120819918080 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 61120819918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126927962884800).

61120819918080 is an abundant number, since it is smaller than the sum of its proper divisors (192735105851520).

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

61120819918080 is a wasteful number, since it uses less digits than its factorization.

61120819918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 61120819918080 in words is "sixty-one trillion, one hundred twenty billion, eight hundred nineteen million, nine hundred eighteen thousand, eighty".