10206787080 has 256 divisors, whose sum is σ = 39004416000. Its totient is φ = 2080124928.

The previous prime is 10206787043. The next prime is 10206787093. The reversal of 10206787080 is 8078760201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252511 + ... + 290129.

It is an arithmetic number, because the mean of its divisors is an integer number (152361000).

Almost surely, 2^10206787080 is an apocalyptic number.

10206787080 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 10206787080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19502208000).

10206787080 is an abundant number, since it is smaller than the sum of its proper divisors (28797628920).

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

10206787080 is a wasteful number, since it uses less digits than its factorization.

10206787080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37676 (or 37672 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 10206787080 in words is "ten billion, two hundred six million, seven hundred eighty-seven thousand, eighty".