10479054582000 has 480 divisors, whose sum is σ = 37097423041536. Its totient is φ = 2756634048000.

The previous prime is 10479054581951. The next prime is 10479054582011. The reversal of 10479054582000 is 28545097401.

10479054582000 is a `hidden beast` number, since 10 + 4 + 7 + 9 + 0 + 54 + 582 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×10479054582000³ (a number of 40 digits) contains 333 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487591255 + ... + 487612745.

Almost surely, 2^{10479054582000} is an apocalyptic number.

10479054582000 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 10479054582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18548711520768).

10479054582000 is an abundant number, since it is smaller than the sum of its proper divisors (26618368459536).

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

10479054582000 is a wasteful number, since it uses less digits than its factorization.

10479054582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21886 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10479054582000 in words is "ten trillion, four hundred seventy-nine billion, fifty-four million, five hundred eighty-two thousand".