54806000340 has 576 divisors, whose sum is σ = 201877401600. Its totient is φ = 10854125568.

The previous prime is 54806000323. The next prime is 54806000401. The reversal of 54806000340 is 4300060845.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54806000298 and 54806000307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96319576 + ... + 96320144.

It is an arithmetic number, because the mean of its divisors is an integer number (350481600).

Almost surely, 2^54806000340 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 54806000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100938700800).

54806000340 is an abundant number, since it is smaller than the sum of its proper divisors (147071401260).

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

54806000340 is a wasteful number, since it uses less digits than its factorization.

54806000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 54806000340 in words is "fifty-four billion, eight hundred six million, three hundred forty", and thus it is an aban number.