10087066080 has 576 divisors, whose sum is σ = 43950187008. Its totient is φ = 2127513600.

The previous prime is 10087066061. The next prime is 10087066081. The reversal of 10087066080 is 8066078001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087066081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3536655 + ... + 3539505.

It is an arithmetic number, because the mean of its divisors is an integer number (76302408).

Almost surely, 2^10087066080 is an apocalyptic number.

10087066080 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 10087066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21975093504).

10087066080 is an abundant number, since it is smaller than the sum of its proper divisors (33863120928).

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

10087066080 is a wasteful number, since it uses less digits than its factorization.

10087066080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10087066080 in words is "ten billion, eighty-seven million, sixty-six thousand, eighty".