54431323261056 has 576 divisors, whose sum is σ = 200165476056000. Its totient is φ = 13866615078912.

The previous prime is 54431323261033. The next prime is 54431323261061. The reversal of 54431323261056 is 65016232313445.

54431323261056 is a `hidden beast` number, since 5 + 4 + 4 + 3 + 1 + 3 + 23 + 2 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43664790 + ... + 44894058.

Almost surely, 2^{54431323261056} is an apocalyptic number.

54431323261056 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 54431323261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100082738028000).

54431323261056 is an abundant number, since it is smaller than the sum of its proper divisors (145734152794944).

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

54431323261056 is a wasteful number, since it uses less digits than its factorization.

54431323261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229349 (or 1229317 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 54431323261056 in words is "fifty-four trillion, four hundred thirty-one billion, three hundred twenty-three million, two hundred sixty-one thousand, fifty-six".