10787020640 has 96 divisors (see below), whose sum is σ = 27854940960. Its totient is φ = 3914956800.

The previous prime is 10787020627. The next prime is 10787020661. The reversal of 10787020640 is 4602078701.

It is a happy number.

10787020640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10787020640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946496 + ... + 957824.

It is an arithmetic number, because the mean of its divisors is an integer number (290155635).

Almost surely, 2^10787020640 is an apocalyptic number.

10787020640 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 10787020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927470480).

10787020640 is an abundant number, since it is smaller than the sum of its proper divisors (17067920320).

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

10787020640 is a wasteful number, since it uses less digits than its factorization.

10787020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 10787020640 in words is "ten billion, seven hundred eighty-seven million, twenty thousand, six hundred forty".