10788309000 has 640 divisors, whose sum is σ = 44033932800. Its totient is φ = 2412633600.

The previous prime is 10788308989. The next prime is 10788309017. The reversal of 10788309000 is 90388701.

It is a super-2 number, since 2×10788309000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30050821 + ... + 30051179.

It is an arithmetic number, because the mean of its divisors is an integer number (68803020).

Almost surely, 2^10788309000 is an apocalyptic number.

10788309000 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 10788309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016966400).

10788309000 is an abundant number, since it is smaller than the sum of its proper divisors (33245623800).

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

10788309000 is a wasteful number, since it uses less digits than its factorization.

10788309000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10788309000 in words is "ten billion, seven hundred eighty-eight million, three hundred nine thousand".