5406104880 has 480 divisors, whose sum is σ = 20746672128. Its totient is φ = 1249689600.

The previous prime is 5406104843. The next prime is 5406104881. The reversal of 5406104880 is 884016045.

5406104880 is a `hidden beast` number, since 540 + 6 + 104 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5406104881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23815327 + ... + 23815553.

Almost surely, 2^5406104880 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 5406104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064).

5406104880 is an abundant number, since it is smaller than the sum of its proper divisors (15340567248).

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

5406104880 is a wasteful number, since it uses less digits than its factorization.

5406104880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5406104880 is about 73526.2189970353. The cubic root of 5406104880 is about 1755.0715338412.

It can be divided in two parts, 540610 and 4880, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 5406104880 in words is "five billion, four hundred six million, one hundred four thousand, eight hundred eighty".