10087810320000 has 960 divisors, whose sum is σ = 39858563052000. Its totient is φ = 2252049408000.

The previous prime is 10087810319953. The next prime is 10087810320151. The reversal of 10087810320000 is 2301878001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10087810320000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 505670026 + ... + 505689974.

Almost surely, 2^{10087810320000} is an apocalyptic number.

10087810320000 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 10087810320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929281526000).

10087810320000 is an abundant number, since it is smaller than the sum of its proper divisors (29770752732000).

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

10087810320000 is an equidigital number, since it uses as much as digits as its factorization.

10087810320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20009 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 10087810320000 in words is "ten trillion, eighty-seven billion, eight hundred ten million, three hundred twenty thousand".