1610536542120 has 256 divisors, whose sum is σ = 5859529804800. Its totient is φ = 390230887680.

The previous prime is 1610536542119. The next prime is 1610536542143. The reversal of 1610536542120 is 212456350161.

1610536542120 is a `hidden beast` number, since 1 + 6 + 105 + 3 + 6 + 542 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23571447 + ... + 23639673.

It is an arithmetic number, because the mean of its divisors is an integer number (22888788300).

Almost surely, 2^{1610536542120} is an apocalyptic number.

1610536542120 is a gapful number since it is divisible by the number (10) 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 1610536542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929764902400).

1610536542120 is an abundant number, since it is smaller than the sum of its proper divisors (4248993262680).

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

1610536542120 is a wasteful number, since it uses less digits than its factorization.

1610536542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70245 (or 70235 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1610536542120 in words is "one trillion, six hundred ten billion, five hundred thirty-six million, five hundred forty-two thousand, one hundred twenty".