61312261228560 has 360 divisors, whose sum is σ = 222858721430280. Its totient is φ = 15097829720064.

The previous prime is 61312261228469. The next prime is 61312261228651. The reversal of 61312261228560 is 6582216221316.

61312261228560 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 2 + 2 + 61 + 2 + 28 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (61312261228469) and next prime (61312261228651).

It can be written as a sum of positive squares in 12 ways, for example, as 3435892275456 + 57876368953104 = 1853616^2 + 7607652^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 8248456 + ... + 13808024.

It is an arithmetic number, because the mean of its divisors is an integer number (619052003973).

Almost surely, 2^{61312261228560} is an apocalyptic number.

61312261228560 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 61312261228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111429360715140).

61312261228560 is an abundant number, since it is smaller than the sum of its proper divisors (161546460201720).

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

61312261228560 is a wasteful number, since it uses less digits than its factorization.

61312261228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559675 (or 5559649 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 61312261228560 its reverse (6582216221316), we get a palindrome (67894477449876).

The spelling of 61312261228560 in words is "sixty-one trillion, three hundred twelve billion, two hundred sixty-one million, two hundred twenty-eight thousand, five hundred sixty".