61905836101824 has 1344 divisors, whose sum is σ = 228935109312000. Its totient is φ = 16403040276480.

The previous prime is 61905836101793. The next prime is 61905836101831. The reversal of 61905836101824 is 42810163850916.

It is a happy number.

61905836101824 is a `hidden beast` number, since 6 + 1 + 9 + 0 + 5 + 8 + 3 + 610 + 18 + 2 + 4 = 666.

It is a super-2 number, since 2×61905836101824² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7141054162 + ... + 7141062830.

It is an arithmetic number, because the mean of its divisors is an integer number (170338623000).

Almost surely, 2^{61905836101824} is an apocalyptic number.

61905836101824 is a gapful number since it is divisible by the number (64) 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 61905836101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114467554656000).

61905836101824 is an abundant number, since it is smaller than the sum of its proper divisors (167029273210176).

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

61905836101824 is a wasteful number, since it uses less digits than its factorization.

61905836101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 61905836101824 in words is "sixty-one trillion, nine hundred five billion, eight hundred thirty-six million, one hundred one thousand, eight hundred twenty-four".