61565253120 has 1280 divisors, whose sum is σ = 271682611200. Its totient is φ = 12899450880.

The previous prime is 61565253119. The next prime is 61565253187. The reversal of 61565253120 is 2135256516.

61565253120 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 525 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 340139430 + ... + 340139610.

It is an arithmetic number, because the mean of its divisors is an integer number (212252040).

Almost surely, 2^61565253120 is an apocalyptic number.

61565253120 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 61565253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135841305600).

61565253120 is an abundant number, since it is smaller than the sum of its proper divisors (210117358080).

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

61565253120 is a wasteful number, since it uses less digits than its factorization.

61565253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 61565253120 in words is "sixty-one billion, five hundred sixty-five million, two hundred fifty-three thousand, one hundred twenty".