5465892960 has 480 divisors, whose sum is σ = 21971803392. Its totient is φ = 1266693120.

The previous prime is 5465892959. The next prime is 5465892967. The reversal of 5465892960 is 692985645.

It is a happy number.

5465892960 is a `hidden beast` number, since 5 + 465 + 8 + 92 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5465892897 and 5465892906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465892967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3278047 + ... + 3279713.

Almost surely, 2^5465892960 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 5465892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985901696).

5465892960 is an abundant number, since it is smaller than the sum of its proper divisors (16505910432).

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

5465892960 is a wasteful number, since it uses less digits than its factorization.

5465892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5465892960 is about 73931.6776490294. The cubic root of 5465892960 is about 1761.5178194480.

The spelling of 5465892960 in words is "five billion, four hundred sixty-five million, eight hundred ninety-two thousand, nine hundred sixty".