61335335160 has 320 divisors, whose sum is σ = 228073190400. Its totient is φ = 14659142400.

The previous prime is 61335335143. The next prime is 61335335197. The reversal of 61335335160 is 6153353316.

61335335160 is a `hidden beast` number, since 6 + 13 + 3 + 533 + 51 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2518321 + ... + 2542559.

It is an arithmetic number, because the mean of its divisors is an integer number (712728720).

Almost surely, 2^61335335160 is an apocalyptic number.

61335335160 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 61335335160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114036595200).

61335335160 is an abundant number, since it is smaller than the sum of its proper divisors (166737855240).

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

61335335160 is a wasteful number, since it uses less digits than its factorization.

61335335160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24344 (or 24331 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 61335335160 its reverse (6153353316), we get a palindrome (67488688476).

It can be divided in two parts, 61335 and 335160, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 61335335160 in words is "sixty-one billion, three hundred thirty-five million, three hundred thirty-five thousand, one hundred sixty".