61106010605808 has 160 divisors (see below), whose sum is σ = 183821195404800. Its totient is φ = 17128604832768.

The previous prime is 61106010605779. The next prime is 61106010605831. The reversal of 61106010605808 is 80850601060116.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 61106010605808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420712623 + ... + 420857841.

It is an arithmetic number, because the mean of its divisors is an integer number (1148882471280).

Almost surely, 2^{61106010605808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61106010605808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91910597702400).

61106010605808 is an abundant number, since it is smaller than the sum of its proper divisors (122715184798992).

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

61106010605808 is a wasteful number, since it uses less digits than its factorization.

61106010605808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168919 (or 168913 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 61106010605808 in words is "sixty-one trillion, one hundred six billion, ten million, six hundred five thousand, eight hundred eight".