54415520640 has 768 divisors, whose sum is σ = 209513304000. Its totient is φ = 12931301376.

The previous prime is 54415520633. The next prime is 54415520641. The reversal of 54415520640 is 4602551445.

54415520640 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 5 + 5 + 2 + 0 + 640 = 666.

54415520640 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 2×54415520640² (a number of 22 digits) contains 22 as substring.

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 = 54415520595 and 54415520604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54415520641) 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, 481553224 + ... + 481553336.

Almost surely, 2^54415520640 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 54415520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104756652000).

54415520640 is an abundant number, since it is smaller than the sum of its proper divisors (155097783360).

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

54415520640 is a wasteful number, since it uses less digits than its factorization.

54415520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 54415520640 in words is "fifty-four billion, four hundred fifteen million, five hundred twenty thousand, six hundred forty".