54135607680 has 1536 divisors, whose sum is σ = 247463424000. Its totient is φ = 10801889280.

The previous prime is 54135607663. The next prime is 54135607681. The reversal of 54135607680 is 8670653145.

54135607680 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 560 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54135607681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1021426534 + ... + 1021426586.

It is an arithmetic number, because the mean of its divisors is an integer number (161109000).

Almost surely, 2^54135607680 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 54135607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123731712000).

54135607680 is an abundant number, since it is smaller than the sum of its proper divisors (193327816320).

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

54135607680 is a wasteful number, since it uses less digits than its factorization.

54135607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 54135607680 in words is "fifty-four billion, one hundred thirty-five million, six hundred seven thousand, six hundred eighty".