56440450080 has 1440 divisors, whose sum is σ = 248276109312. Its totient is φ = 12018585600.

The previous prime is 56440450061. The next prime is 56440450091. The reversal of 56440450080 is 8005404465.

56440450080 is a `hidden beast` number, since 5 + 644 + 0 + 4 + 5 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 925253250 + ... + 925253310.

Almost surely, 2^56440450080 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 56440450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124138054656).

56440450080 is an abundant number, since it is smaller than the sum of its proper divisors (191835659232).

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

56440450080 is a wasteful number, since it uses less digits than its factorization.

56440450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 56440450080 in words is "fifty-six billion, four hundred forty million, four hundred fifty thousand, eighty".