54185853456 has 360 divisors, whose sum is σ = 193772329920. Its totient is φ = 14028360192.

The previous prime is 54185853409. The next prime is 54185853473. The reversal of 54185853456 is 65435858145.

54185853456 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 58 + 534 + 56 = 666.

It is a super-2 number, since 2×54185853456² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3074686 + ... + 3092258.

It is an arithmetic number, because the mean of its divisors is an integer number (538256472).

Almost surely, 2^54185853456 is an apocalyptic number.

54185853456 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 54185853456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96886164960).

54185853456 is an abundant number, since it is smaller than the sum of its proper divisors (139586476464).

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

54185853456 is a wasteful number, since it uses less digits than its factorization.

54185853456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643 (or 17627 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 54185853456 in words is "fifty-four billion, one hundred eighty-five million, eight hundred fifty-three thousand, four hundred fifty-six".