61271147520 has 1056 divisors, whose sum is σ = 248711089536. Its totient is φ = 14452162560.

The previous prime is 61271147491. The next prime is 61271147521. The reversal of 61271147520 is 2574117216.

61271147520 is a `hidden beast` number, since 6 + 12 + 7 + 114 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61271147521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1655976942 + ... + 1655976978.

Almost surely, 2^61271147520 is an apocalyptic number.

61271147520 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 61271147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124355544768).

61271147520 is an abundant number, since it is smaller than the sum of its proper divisors (187439942016).

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

61271147520 is an equidigital number, since it uses as much as digits as its factorization.

61271147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 61271147520 in words is "sixty-one billion, two hundred seventy-one million, one hundred forty-seven thousand, five hundred twenty".