54515563253632 has 256 divisors, whose sum is σ = 119543954483520. Its totient is φ = 24611544760320.

The previous prime is 54515563253623. The next prime is 54515563253681. The reversal of 54515563253632 is 23635236551545.

It is a super-2 number, since 2×54515563253632² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29043985878 + ... + 29043987754.

Almost surely, 2^{54515563253632} is an apocalyptic number.

54515563253632 is a gapful number since it is divisible by the number (52) 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 54515563253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59771977241760).

54515563253632 is an abundant number, since it is smaller than the sum of its proper divisors (65028391229888).

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

54515563253632 is a wasteful number, since it uses less digits than its factorization.

54515563253632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3949 counting only the distinct ones).

The product of its digits is 48600000, while the sum is 55.

The spelling of 54515563253632 in words is "fifty-four trillion, five hundred fifteen billion, five hundred sixty-three million, two hundred fifty-three thousand, six hundred thirty-two".