54795251777280 has 1152 divisors, whose sum is σ = 205185148213248. Its totient is φ = 12205195001856.

The previous prime is 54795251777267. The next prime is 54795251777339. The reversal of 54795251777280 is 8277715259745.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85218120639 + ... + 85218121281.

It is an arithmetic number, because the mean of its divisors is an integer number (178112107824).

Almost surely, 2^{54795251777280} 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 54795251777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102592574106624).

54795251777280 is an abundant number, since it is smaller than the sum of its proper divisors (150389896435968).

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

54795251777280 is a wasteful number, since it uses less digits than its factorization.

54795251777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 345744000, while the sum is 69.

The spelling of 54795251777280 in words is "fifty-four trillion, seven hundred ninety-five billion, two hundred fifty-one million, seven hundred seventy-seven thousand, two hundred eighty".