54771922275840 has 1920 divisors, whose sum is σ = 259890540940800. Its totient is φ = 10782029905920.

The previous prime is 54771922275823. The next prime is 54771922275853. The reversal of 54771922275840 is 4857222917745.

54771922275840 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 1 + 9 + 22 + 27 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 707819232 + ... + 707896608.

It is an arithmetic number, because the mean of its divisors is an integer number (135359656740).

Almost surely, 2^{54771922275840} 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 54771922275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129945270470400).

54771922275840 is an abundant number, since it is smaller than the sum of its proper divisors (205118618664960).

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

54771922275840 is a wasteful number, since it uses less digits than its factorization.

54771922275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77453 (or 77424 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 54771922275840 in words is "fifty-four trillion, seven hundred seventy-one billion, nine hundred twenty-two million, two hundred seventy-five thousand, eight hundred forty".