54560260129536 has 288 divisors, whose sum is σ = 184443011916800. Its totient is φ = 15584457646080.

The previous prime is 54560260129519. The next prime is 54560260129537. The reversal of 54560260129536 is 63592106206545.

54560260129536 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 0 + 2 + 601 + 29 + 5 + 3 + 6 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (54560260129537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182209701 + ... + 182508891.

Almost surely, 2^{54560260129536} is an apocalyptic number.

54560260129536 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 54560260129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92221505958400).

54560260129536 is an abundant number, since it is smaller than the sum of its proper divisors (129882751787264).

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

54560260129536 is a wasteful number, since it uses less digits than its factorization.

54560260129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302992 (or 302972 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 54560260129536 in words is "fifty-four trillion, five hundred sixty billion, two hundred sixty million, one hundred twenty-nine thousand, five hundred thirty-six".