61017960960 has 960 divisors, whose sum is σ = 246551969664. Its totient is φ = 14332723200.

The previous prime is 61017960953. The next prime is 61017960979. The reversal of 61017960960 is 6906971016.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 253186440 + ... + 253186680.

Almost surely, 2^61017960960 is an apocalyptic number.

61017960960 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 61017960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123275984832).

61017960960 is an abundant number, since it is smaller than the sum of its proper divisors (185534008704).

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

61017960960 is a wasteful number, since it uses less digits than its factorization.

61017960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 61017960960 in words is "sixty-one billion, seventeen million, nine hundred sixty thousand, nine hundred sixty".