54529314288000 has 128 divisors (see below), whose sum is σ = 180764677023840. Its totient is φ = 14541150464000.

The previous prime is 54529314287963. The next prime is 54529314288067. The reversal of 54529314288000 is 88241392545.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×54529314288000⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567965691 + ... + 568061690.

Almost surely, 2^{54529314288000} is an apocalyptic number.

54529314288000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54529314288000 is an abundant number, since it is smaller than the sum of its proper divisors (126235362735840).

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

54529314288000 is a wasteful number, since it uses less digits than its factorization.

54529314288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136027413 (or 1136027391 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 54529314288000 in words is "fifty-four trillion, five hundred twenty-nine billion, three hundred fourteen million, two hundred eighty-eight thousand".