61201071360 has 864 divisors, whose sum is σ = 251989291008. Its totient is φ = 13518766080.

The previous prime is 61201071341. The next prime is 61201071383. The reversal of 61201071360 is 6317010216.

61201071360 is a `hidden beast` number, since 612 + 0 + 10 + 7 + 1 + 36 + 0 = 666.

It is a super-2 number, since 2×61201071360² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159793729 + ... + 159794111.

It is an arithmetic number, because the mean of its divisors is an integer number (291654272).

Almost surely, 2^61201071360 is an apocalyptic number.

61201071360 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 61201071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125994645504).

61201071360 is an abundant number, since it is smaller than the sum of its proper divisors (190788219648).

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

61201071360 is a wasteful number, since it uses less digits than its factorization.

61201071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 61201071360 its reverse (6317010216), we get a palindrome (67518081576).

The spelling of 61201071360 in words is "sixty-one billion, two hundred one million, seventy-one thousand, three hundred sixty".