10047456000 has 576 divisors, whose sum is σ = 38454998400. Its totient is φ = 2580480000.

The previous prime is 10047455993. The next prime is 10047456011. The reversal of 10047456000 is 65474001.

10047456000 is a `hidden beast` number, since 10 + 0 + 4 + 7 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25055800 + ... + 25056200.

It is an arithmetic number, because the mean of its divisors is an integer number (66762150).

Almost surely, 2^10047456000 is an apocalyptic number.

10047456000 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 10047456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227499200).

10047456000 is an abundant number, since it is smaller than the sum of its proper divisors (28407542400).

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

10047456000 is an equidigital number, since it uses as much as digits as its factorization.

10047456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10047456000 in words is "ten billion, forty-seven million, four hundred fifty-six thousand".