61435208540160 has 3584 divisors, whose sum is σ = 287741051136000. Its totient is φ = 12067515924480.

The previous prime is 61435208540159. The next prime is 61435208540179. The reversal of 61435208540160 is 6104580253416.

61435208540160 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 520 + 85 + 40 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 254917877640 + ... + 254917877880.

It is an arithmetic number, because the mean of its divisors is an integer number (80284891500).

Almost surely, 2^{61435208540160} is an apocalyptic number.

61435208540160 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 61435208540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143870525568000).

61435208540160 is an abundant number, since it is smaller than the sum of its proper divisors (226305842595840).

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

61435208540160 is a wasteful number, since it uses less digits than its factorization.

61435208540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 61435208540160 its reverse (6104580253416), we get a palindrome (67539788793576).

The spelling of 61435208540160 in words is "sixty-one trillion, four hundred thirty-five billion, two hundred eight million, five hundred forty thousand, one hundred sixty".