54965919456 has 288 divisors, whose sum is σ = 188335300608. Its totient is φ = 14873794560.

The previous prime is 54965919439. The next prime is 54965919479. The reversal of 54965919456 is 65491956945.

54965919456 is a `hidden beast` number, since 5 + 4 + 96 + 5 + 91 + 9 + 456 = 666.

54965919456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 54965919393 and 54965919402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2927956 + ... + 2946668.

It is an arithmetic number, because the mean of its divisors is an integer number (653942016).

Almost surely, 2^54965919456 is an apocalyptic number.

54965919456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54965919456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94167650304).

54965919456 is an abundant number, since it is smaller than the sum of its proper divisors (133369381152).

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

54965919456 is a wasteful number, since it uses less digits than its factorization.

54965919456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18814 (or 18803 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 54965919456 in words is "fifty-four billion, nine hundred sixty-five million, nine hundred nineteen thousand, four hundred fifty-six".