10478580000 has 480 divisors, whose sum is σ = 40023688320. Its totient is φ = 2350080000.

The previous prime is 10478579981. The next prime is 10478580023. The reversal of 10478580000 is 8587401.

It is a happy number.

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

It is a super-3 number, since 3×10478580000³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25619796 + ... + 25620204.

It is an arithmetic number, because the mean of its divisors is an integer number (83382684).

Almost surely, 2^10478580000 is an apocalyptic number.

10478580000 is a gapful number since it is divisible by the number (10) 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 10478580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011844160).

10478580000 is an abundant number, since it is smaller than the sum of its proper divisors (29545108320).

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

10478580000 is an equidigital number, since it uses as much as digits as its factorization.

10478580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 10478580000 in words is "ten billion, four hundred seventy-eight million, five hundred eighty thousand".