61066103091840 has 2048 divisors, whose sum is σ = 274331606630400. Its totient is φ = 12469601894400.

The previous prime is 61066103091787. The next prime is 61066103091841. The reversal of 61066103091840 is 4819030166016.

61066103091840 is a `hidden beast` number, since 6 + 10 + 6 + 610 + 3 + 0 + 9 + 18 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61066103091841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35237219614 + ... + 35237221346.

It is an arithmetic number, because the mean of its divisors is an integer number (133950979800).

Almost surely, 2^{61066103091840} is an apocalyptic number.

61066103091840 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 61066103091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137165803315200).

61066103091840 is an abundant number, since it is smaller than the sum of its proper divisors (213265503538560).

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

61066103091840 is a wasteful number, since it uses less digits than its factorization.

61066103091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 61066103091840 in words is "sixty-one trillion, sixty-six billion, one hundred three million, ninety-one thousand, eight hundred forty".