5405177856 has 384 divisors, whose sum is σ = 16731187200. Its totient is φ = 1539440640.

The previous prime is 5405177849. The next prime is 5405177891. The reversal of 5405177856 is 6587715045.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91613155 + ... + 91613213.

It is an arithmetic number, because the mean of its divisors is an integer number (43570800).

Almost surely, 2^5405177856 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 5405177856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365593600).

5405177856 is an abundant number, since it is smaller than the sum of its proper divisors (11326009344).

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

5405177856 is a wasteful number, since it uses less digits than its factorization.

5405177856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The square root of 5405177856 is about 73519.9146898308. The cubic root of 5405177856 is about 1754.9712098263.

The spelling of 5405177856 in words is "five billion, four hundred five million, one hundred seventy-seven thousand, eight hundred fifty-six".