54107066880 has 400 divisors, whose sum is σ = 205207457400. Its totient is φ = 13578928128.

The previous prime is 54107066869. The next prime is 54107066927. The reversal of 54107066880 is 8866070145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45850800384 + 8256266496 = 214128^2 + 90864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3517446 + ... + 3532794.

Almost surely, 2^54107066880 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 54107066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102603728700).

54107066880 is an abundant number, since it is smaller than the sum of its proper divisors (151100390520).

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

54107066880 is a wasteful number, since it uses less digits than its factorization.

54107066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15401 (or 15376 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 54107066880 in words is "fifty-four billion, one hundred seven million, sixty-six thousand, eight hundred eighty".