54268569080352 has 1152 divisors, whose sum is σ = 187658282649600. Its totient is φ = 15210961920000.

The previous prime is 54268569080303. The next prime is 54268569080357. The reversal of 54268569080352 is 25308096586245.

54268569080352 is a `hidden beast` number, since 5 + 4 + 2 + 68 + 569 + 0 + 8 + 0 + 3 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54268569080352.

It is not an unprimeable number, because it can be changed into a prime (54268569080357) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9492487798 + ... + 9492493514.

It is an arithmetic number, because the mean of its divisors is an integer number (162897814800).

Almost surely, 2^{54268569080352} 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 54268569080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93829141324800).

54268569080352 is an abundant number, since it is smaller than the sum of its proper divisors (133389713569248).

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

54268569080352 is a wasteful number, since it uses less digits than its factorization.

54268569080352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 54268569080352 in words is "fifty-four trillion, two hundred sixty-eight billion, five hundred sixty-nine million, eighty thousand, three hundred fifty-two".