10290908160 has 528 divisors, whose sum is σ = 39431115360. Its totient is φ = 2465464320.

The previous prime is 10290908141. The next prime is 10290908179. The reversal of 10290908160 is 6180909201.

It is an interprime number because it is at equal distance from previous prime (10290908141) and next prime (10290908179).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24560431 + ... + 24560849.

Almost surely, 2^10290908160 is an apocalyptic number.

10290908160 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 10290908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715557680).

10290908160 is an abundant number, since it is smaller than the sum of its proper divisors (29140207200).

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

10290908160 is a wasteful number, since it uses less digits than its factorization.

10290908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10290908160 in words is "ten billion, two hundred ninety million, nine hundred eight thousand, one hundred sixty".