54961062624 has 384 divisors, whose sum is σ = 184381747200. Its totient is φ = 15798343680.

The previous prime is 54961062623. The next prime is 54961062641. The reversal of 54961062624 is 42626016945.

54961062624 is a `hidden beast` number, since 5 + 4 + 9 + 6 + 10 + 6 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54961062624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54961062623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10094847 + ... + 10100289.

It is an arithmetic number, because the mean of its divisors is an integer number (480160800).

Almost surely, 2^54961062624 is an apocalyptic number.

54961062624 is a gapful number since it is divisible by the number (54) 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 54961062624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92190873600).

54961062624 is an abundant number, since it is smaller than the sum of its proper divisors (129420684576).

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

54961062624 is a wasteful number, since it uses less digits than its factorization.

54961062624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 54961062624 in words is "fifty-four billion, nine hundred sixty-one million, sixty-two thousand, six hundred twenty-four".