54335305440 has 576 divisors, whose sum is σ = 208524528576. Its totient is φ = 13281656832.

The previous prime is 54335305439. The next prime is 54335305447. The reversal of 54335305440 is 4450353345.

54335305440 is a `hidden beast` number, since 5 + 4 + 33 + 530 + 54 + 40 = 666.

54335305440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54335305395 and 54335305404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54335305447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97549642 + ... + 97550198.

It is an arithmetic number, because the mean of its divisors is an integer number (362021751).

Almost surely, 2^54335305440 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 54335305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104262264288).

54335305440 is an abundant number, since it is smaller than the sum of its proper divisors (154189223136).

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

54335305440 is a wasteful number, since it uses less digits than its factorization.

54335305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 54335305440 its reverse (4450353345), we get a palindrome (58785658785).

The spelling of 54335305440 in words is "fifty-four billion, three hundred thirty-five million, three hundred five thousand, four hundred forty".