10087488000 has 480 divisors, whose sum is σ = 36945260352. Its totient is φ = 2644992000.

The previous prime is 10087487989. The next prime is 10087488011. The reversal of 10087488000 is 88478001.

It is an interprime number because it is at equal distance from previous prime (10087487989) and next prime (10087488011).

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 47 ways as a sum of consecutive naturals, for example, 47807895 + ... + 47808105.

Almost surely, 2^10087488000 is an apocalyptic number.

10087488000 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 10087488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472630176).

10087488000 is an abundant number, since it is smaller than the sum of its proper divisors (26857772352).

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

10087488000 is an equidigital number, since it uses as much as digits as its factorization.

10087488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Subtracting from 10087488000 its reverse (88478001), we obtain a palindrome (9999009999).

The spelling of 10087488000 in words is "ten billion, eighty-seven million, four hundred eighty-eight thousand".