5405672160 has 288 divisors, whose sum is σ = 22009669920. Its totient is φ = 1235533824.

The previous prime is 5405672131. The next prime is 5405672161. The reversal of 5405672160 is 612765045.

It is a happy number.

5405672160 is a `hidden beast` number, since 540 + 56 + 7 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405672161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198912 + ... + 224448.

It is an arithmetic number, because the mean of its divisors is an integer number (76422465).

Almost surely, 2^5405672160 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 5405672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004834960).

5405672160 is an abundant number, since it is smaller than the sum of its proper divisors (16603997760).

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

5405672160 is a wasteful number, since it uses less digits than its factorization.

5405672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25575 (or 25554 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5405672160 is about 73523.2763143754. The cubic root of 5405672160 is about 1755.0247056205.

The spelling of 5405672160 in words is "five billion, four hundred five million, six hundred seventy-two thousand, one hundred sixty".