61353168258660 has 24 divisors (see below), whose sum is σ = 171788871124416. Its totient is φ = 16360844868960.

The previous prime is 61353168258653. The next prime is 61353168258709. The reversal of 61353168258660 is 6685286135316.

It is a super-2 number, since 2×61353168258660² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 1022552804311 = 61353168258660 / (6 + 1 + 3 + 5 + 3 + 1 + 6 + 8 + 2 + 5 + 8 + 6 + 6 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 61353168258594 and 61353168258603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511276402096 + ... + 511276402215.

It is an arithmetic number, because the mean of its divisors is an integer number (7157869630184).

Almost surely, 2^{61353168258660} is an apocalyptic number.

61353168258660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61353168258660 is an abundant number, since it is smaller than the sum of its proper divisors (110435702865756).

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

61353168258660 is a wasteful number, since it uses less digits than its factorization.

61353168258660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022552804323 (or 1022552804321 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 61353168258660 in words is "sixty-one trillion, three hundred fifty-three billion, one hundred sixty-eight million, two hundred fifty-eight thousand, six hundred sixty".