54810623616 has 512 divisors, whose sum is σ = 189181440000. Its totient is φ = 13693059072.

The previous prime is 54810623599. The next prime is 54810623663. The reversal of 54810623616 is 61632601845.

It is a super-2 number, since 2×54810623616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 34064220 + ... + 34065828.

It is an arithmetic number, because the mean of its divisors is an integer number (369495000).

Almost surely, 2^54810623616 is an apocalyptic number.

54810623616 is a gapful number since it is divisible by the number (56) 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 54810623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94590720000).

54810623616 is an abundant number, since it is smaller than the sum of its proper divisors (134370816384).

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

54810623616 is a wasteful number, since it uses less digits than its factorization.

54810623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 54810623616 in words is "fifty-four billion, eight hundred ten million, six hundred twenty-three thousand, six hundred sixteen".