10087163039700 has 288 divisors, whose sum is σ = 33315900840320. Its totient is φ = 2616337843200.

The previous prime is 10087163039693. The next prime is 10087163039713. The reversal of 10087163039700 is 793036178001.

10087163039700 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 7 + 1 + 630 + 3 + 9 + 7 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332751744 + ... + 332782056.

Almost surely, 2^{10087163039700} is an apocalyptic number.

10087163039700 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 10087163039700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657950420160).

10087163039700 is an abundant number, since it is smaller than the sum of its proper divisors (23228737800620).

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

10087163039700 is a wasteful number, since it uses less digits than its factorization.

10087163039700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33704 (or 33691 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10087163039700 in words is "ten trillion, eighty-seven billion, one hundred sixty-three million, thirty-nine thousand, seven hundred".