54567129278640 has 640 divisors, whose sum is σ = 207408130744320. Its totient is φ = 11708502220800.

The previous prime is 54567129278581. The next prime is 54567129278647. The reversal of 54567129278640 is 4687292176545.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (54567129278647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49058260 + ... + 50158220.

It is an arithmetic number, because the mean of its divisors is an integer number (324075204288).

Almost surely, 2^{54567129278640} 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 54567129278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103704065372160).

54567129278640 is an abundant number, since it is smaller than the sum of its proper divisors (152841001465680).

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

54567129278640 is a wasteful number, since it uses less digits than its factorization.

54567129278640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100073 (or 1100067 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 54567129278640 in words is "fifty-four trillion, five hundred sixty-seven billion, one hundred twenty-nine million, two hundred seventy-eight thousand, six hundred forty".