10087866621000 has 576 divisors, whose sum is σ = 39707801668080. Its totient is φ = 2303242905600.

The previous prime is 10087866620989. The next prime is 10087866621031. The reversal of 10087866621000 is 12666878001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 651161846916 + 9436704774084 = 806946^2 + 3071922^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413204794 + ... + 413229206.

Almost surely, 2^{10087866621000} is an apocalyptic number.

10087866621000 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 10087866621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853900834040).

10087866621000 is an abundant number, since it is smaller than the sum of its proper divisors (29619935047080).

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

10087866621000 is a wasteful number, since it uses less digits than its factorization.

10087866621000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25391 (or 25367 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10087866621000 in words is "ten trillion, eighty-seven billion, eight hundred sixty-six million, six hundred twenty-one thousand".