54456229080 has 432 divisors, whose sum is σ = 205371588240. Its totient is φ = 12503082240.

The previous prime is 54456229073. The next prime is 54456229141. The reversal of 54456229080 is 8092265445.

54456229080 is a `hidden beast` number, since 5 + 4 + 4 + 562 + 2 + 9 + 0 + 80 = 666.

54456229080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54456229080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15723429 + ... + 15726891.

It is an arithmetic number, because the mean of its divisors is an integer number (475397195).

Almost surely, 2^54456229080 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 54456229080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102685794120).

54456229080 is an abundant number, since it is smaller than the sum of its proper divisors (150915359160).

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

54456229080 is a wasteful number, since it uses less digits than its factorization.

54456229080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 54456229080 in words is "fifty-four billion, four hundred fifty-six million, two hundred twenty-nine thousand, eighty".