10471888804608 has 1152 divisors, whose sum is σ = 40063838976000. Its totient is φ = 2618031144960.

The previous prime is 10471888804607. The next prime is 10471888804609. The reversal of 10471888804608 is 80640888817401.

10471888804608 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 18 + 8 + 8 + 8 + 0 + 4 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (10471888804607) and next prime (10471888804609).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10471888804603) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6127494058 + ... + 6127495766.

It is an arithmetic number, because the mean of its divisors is an integer number (34777638000).

Almost surely, 2^{10471888804608} is an apocalyptic number.

10471888804608 is a gapful number since it is divisible by the number (18) 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 10471888804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20031919488000).

10471888804608 is an abundant number, since it is smaller than the sum of its proper divisors (29591950171392).

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

10471888804608 is a wasteful number, since it uses less digits than its factorization.

10471888804608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 63.

The spelling of 10471888804608 in words is "ten trillion, four hundred seventy-one billion, eight hundred eighty-eight million, eight hundred four thousand, six hundred eight".