54935509440 has 224 divisors, whose sum is σ = 200795802624. Its totient is φ = 12464824320.

The previous prime is 54935509439. The next prime is 54935509451. The reversal of 54935509440 is 4490553945.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×54935509440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54935509440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890805 + ... + 950475.

Almost surely, 2^54935509440 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 54935509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100397901312).

54935509440 is an abundant number, since it is smaller than the sum of its proper divisors (145860293184).

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

54935509440 is a wasteful number, since it uses less digits than its factorization.

54935509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59835 (or 59825 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 54935509440 in words is "fifty-four billion, nine hundred thirty-five million, five hundred nine thousand, four hundred forty".