10472085000 has 840 divisors, whose sum is σ = 42178006530. Its totient is φ = 2426112000.

The previous prime is 10472084981. The next prime is 10472085031. The reversal of 10472085000 is 58027401.

It can be written as a sum of positive squares in 15 ways, for example, as 6622378884 + 3849706116 = 81378^2 + 62046^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 616004992 + ... + 616005008.

Almost surely, 2^10472085000 is an apocalyptic number.

10472085000 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 10472085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089003265).

10472085000 is an abundant number, since it is smaller than the sum of its proper divisors (31705921530).

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

10472085000 is an equidigital number, since it uses as much as digits as its factorization.

10472085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10472085000 in words is "ten billion, four hundred seventy-two million, eighty-five thousand".