6161101510590 has 192 divisors, whose sum is σ = 17492142507840. Its totient is φ = 1495398205440.

The previous prime is 6161101510567. The next prime is 6161101510607. The reversal of 6161101510590 is 950151011616.

It is a happy number.

6161101510590 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 10 + 1 + 51 + 0 + 590 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421149396 + ... + 421164024.

It is an arithmetic number, because the mean of its divisors is an integer number (91104908895).

Almost surely, 2^{6161101510590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6161101510590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746071253920).

6161101510590 is an abundant number, since it is smaller than the sum of its proper divisors (11331040997250).

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

6161101510590 is a wasteful number, since it uses less digits than its factorization.

6161101510590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19659 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 6161101510590 in words is "six trillion, one hundred sixty-one billion, one hundred one million, five hundred ten thousand, five hundred ninety".