10290862080 has 480 divisors, whose sum is σ = 38886447600. Its totient is φ = 2595815424.

The previous prime is 10290862079. The next prime is 10290862103. The reversal of 10290862080 is 8026809201.

10290862080 is a `hidden beast` number, since 1 + 0 + 29 + 0 + 8 + 620 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759034 + ... + 15759686.

Almost surely, 2^10290862080 is an apocalyptic number.

10290862080 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 10290862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443223800).

10290862080 is an abundant number, since it is smaller than the sum of its proper divisors (28595585520).

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

10290862080 is an equidigital number, since it uses as much as digits as its factorization.

10290862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10290862080 in words is "ten billion, two hundred ninety million, eight hundred sixty-two thousand, eighty".