10009004659290 has 1536 divisors, whose sum is σ = 36029048832000. Its totient is φ = 1953971195904.

The previous prime is 10009004659273. The next prime is 10009004659343. The reversal of 10009004659290 is 9295640090001.

10009004659290 is a `hidden beast` number, since 10 + 0 + 0 + 9 + 0 + 0 + 46 + 592 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35367507489 + ... + 35367507771.

It is an arithmetic number, because the mean of its divisors is an integer number (23456412000).

Almost surely, 2^{10009004659290} is an apocalyptic number.

10009004659290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10009004659290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014524416000).

10009004659290 is an abundant number, since it is smaller than the sum of its proper divisors (26020044172710).

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

10009004659290 is a wasteful number, since it uses less digits than its factorization.

10009004659290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10009004659290 in words is "ten trillion, nine billion, four million, six hundred fifty-nine thousand, two hundred ninety".