54477757440 has 704 divisors, whose sum is σ = 203743641600. Its totient is φ = 13785956352.

The previous prime is 54477757421. The next prime is 54477757447. The reversal of 54477757440 is 4475777445.

It is a happy number.

54477757440 is a `hidden beast` number, since 544 + 7 + 7 + 7 + 57 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54477757447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428958657 + ... + 428958783.

Almost surely, 2^54477757440 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 54477757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101871820800).

54477757440 is an abundant number, since it is smaller than the sum of its proper divisors (149265884160).

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

54477757440 is a wasteful number, since it uses less digits than its factorization.

54477757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15366400, while the sum is 54.

The spelling of 54477757440 in words is "fifty-four billion, four hundred seventy-seven million, seven hundred fifty-seven thousand, four hundred forty".