61054632576 has 384 divisors, whose sum is σ = 211686034560. Its totient is φ = 17154478080.

The previous prime is 61054632557. The next prime is 61054632577. The reversal of 61054632576 is 67523645016.

61054632576 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 4 + 632 + 5 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (61054632577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13279110 + ... + 13283706.

It is an arithmetic number, because the mean of its divisors is an integer number (551265715).

Almost surely, 2^61054632576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61054632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105843017280).

61054632576 is an abundant number, since it is smaller than the sum of its proper divisors (150631401984).

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

61054632576 is an equidigital number, since it uses as much as digits as its factorization.

61054632576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 61054632576 in words is "sixty-one billion, fifty-four million, six hundred thirty-two thousand, five hundred seventy-six".