54541779656 has 144 divisors (see below), whose sum is σ = 129765812400. Its totient is φ = 21418121088.

The previous prime is 54541779641. The next prime is 54541779673. The reversal of 54541779656 is 65697714545.

It is a junction number, because it is equal to n+sod(n) for n = 54541779595 and 54541779604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9205511 + ... + 9211433.

It is an arithmetic number, because the mean of its divisors is an integer number (901151475).

Almost surely, 2^54541779656 is an apocalyptic number.

54541779656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54541779656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64882906200).

54541779656 is an abundant number, since it is smaller than the sum of its proper divisors (75224032744).

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

54541779656 is a wasteful number, since it uses less digits than its factorization.

54541779656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6084 counting only the distinct ones).

The product of its digits is 31752000, while the sum is 59.

The spelling of 54541779656 in words is "fifty-four billion, five hundred forty-one million, seven hundred seventy-nine thousand, six hundred fifty-six".