10011776320 has 336 divisors, whose sum is σ = 30120336000. Its totient is φ = 3102547968.

The previous prime is 10011776309. The next prime is 10011776339. The reversal of 10011776320 is 2367711001.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 20063431 + ... + 20063929.

Almost surely, 2^10011776320 is an apocalyptic number.

10011776320 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 10011776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060168000).

10011776320 is an abundant number, since it is smaller than the sum of its proper divisors (20108559680).

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

10011776320 is a wasteful number, since it uses less digits than its factorization.

10011776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 10011776320 in words is "ten billion, eleven million, seven hundred seventy-six thousand, three hundred twenty".