56419086480 has 320 divisors, whose sum is σ = 189122895360. Its totient is φ = 13877248000.

The previous prime is 56419086473. The next prime is 56419086509. The reversal of 56419086480 is 8468091465.

It is a super-2 number, since 2×56419086480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20141080 + ... + 20143880.

It is an arithmetic number, because the mean of its divisors is an integer number (591009048).

Almost surely, 2^56419086480 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 56419086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94561447680).

56419086480 is an abundant number, since it is smaller than the sum of its proper divisors (132703808880).

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

56419086480 is a wasteful number, since it uses less digits than its factorization.

56419086480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 56419086480 in words is "fifty-six billion, four hundred nineteen million, eighty-six thousand, four hundred eighty".