54968412960 has 144 divisors (see below), whose sum is σ = 188775260856. Its totient is φ = 14564818944.

The previous prime is 54968412949. The next prime is 54968412979. The reversal of 54968412960 is 6921486945.

54968412960 is a `hidden beast` number, since 5 + 496 + 84 + 12 + 9 + 60 = 666.

54968412960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22252285584 + 32716127376 = 149172^2 + 180876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54968412897 and 54968412906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104512 + ... + 347648.

Almost surely, 2^54968412960 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 54968412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94387630428).

54968412960 is an abundant number, since it is smaller than the sum of its proper divisors (133806847896).

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

54968412960 is a wasteful number, since it uses less digits than its factorization.

54968412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243315 (or 243304 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 54968412960 in words is "fifty-four billion, nine hundred sixty-eight million, four hundred twelve thousand, nine hundred sixty".