5578295040 has 360 divisors, whose sum is σ = 20140087968. Its totient is φ = 1474191360.

The previous prime is 5578294993. The next prime is 5578295053. The reversal of 5578295040 is 405928755.

5578295040 is a `hidden beast` number, since 5 + 578 + 29 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5578295040² = 62234751106577203200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17936485 + ... + 17936795.

Almost surely, 2^5578295040 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 5578295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10070043984).

5578295040 is an abundant number, since it is smaller than the sum of its proper divisors (14561792928).

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

5578295040 is a wasteful number, since it uses less digits than its factorization.

5578295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5578295040 is about 74687.9845758339. The cubic root of 5578295040 is about 1773.5107566779.

The spelling of 5578295040 in words is "five billion, five hundred seventy-eight million, two hundred ninety-five thousand, forty".