54876666240 has 1024 divisors, whose sum is σ = 223727616000. Its totient is φ = 12590899200.

The previous prime is 54876666239. The next prime is 54876666259. The reversal of 54876666240 is 4266667845.

54876666240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54876666240² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 394796091 + ... + 394796229.

It is an arithmetic number, because the mean of its divisors is an integer number (218484000).

Almost surely, 2^54876666240 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 54876666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111863808000).

54876666240 is an abundant number, since it is smaller than the sum of its proper divisors (168850949760).

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

54876666240 is a wasteful number, since it uses less digits than its factorization.

54876666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 54876666240 in words is "fifty-four billion, eight hundred seventy-six million, six hundred sixty-six thousand, two hundred forty".