54761827680 has 576 divisors, whose sum is σ = 226667367360. Its totient is φ = 12308889600.

The previous prime is 54761827663. The next prime is 54761827691. The reversal of 54761827680 is 8672816745.

54761827680 is a `hidden beast` number, since 547 + 6 + 18 + 2 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12910360 + ... + 12914600.

It is an arithmetic number, because the mean of its divisors is an integer number (393519735).

Almost surely, 2^54761827680 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 54761827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113333683680).

54761827680 is an abundant number, since it is smaller than the sum of its proper divisors (171905539680).

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

54761827680 is a wasteful number, since it uses less digits than its factorization.

54761827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 54761827680 in words is "fifty-four billion, seven hundred sixty-one million, eight hundred twenty-seven thousand, six hundred eighty".