478078260117000 has 128 divisors (see below), whose sum is σ = 1491774664124160. Its totient is φ = 127472964019200.

The previous prime is 478078260116993. The next prime is 478078260117109. The reversal of 478078260117000 is 711062870874.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17155869 + ... + 35362131.

It is an arithmetic number, because the mean of its divisors is an integer number (11654489563470).

Almost surely, 2^{478078260117000} is an apocalyptic number.

478078260117000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478078260117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745887332062080).

478078260117000 is an abundant number, since it is smaller than the sum of its proper divisors (1013696404007160).

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

478078260117000 is a wasteful number, since it uses less digits than its factorization.

478078260117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18215040 (or 18215026 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

The spelling of 478078260117000 in words is "four hundred seventy-eight trillion, seventy-eight billion, two hundred sixty million, one hundred seventeen thousand".