61541026560 has 360 divisors, whose sum is σ = 237149090640. Its totient is φ = 15148228608.

The previous prime is 61541026559. The next prime is 61541026739. The reversal of 61541026560 is 6562014516.

61541026560 is a `hidden beast` number, since 61 + 5 + 4 + 10 + 26 + 560 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1325011 + ... + 1370669.

It is an arithmetic number, because the mean of its divisors is an integer number (658747474).

Almost surely, 2^61541026560 is an apocalyptic number.

61541026560 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 61541026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118574545320).

61541026560 is an abundant number, since it is smaller than the sum of its proper divisors (175608064080).

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

61541026560 is a wasteful number, since it uses less digits than its factorization.

61541026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45705 (or 45682 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 61541026560 in words is "sixty-one billion, five hundred forty-one million, twenty-six thousand, five hundred sixty".