10877760000 has 400 divisors, whose sum is σ = 40267735200. Its totient is φ = 2898432000.

The previous prime is 10877759951. The next prime is 10877760031. The reversal of 10877760000 is 6777801.

It is a tau number, because it is divible by the number of its divisors (400).

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 39 ways as a sum of consecutive naturals, for example, 8639371 + ... + 8640629.

It is an arithmetic number, because the mean of its divisors is an integer number (100669338).

Almost surely, 2^10877760000 is an apocalyptic number.

10877760000 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 10877760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20133867600).

10877760000 is an abundant number, since it is smaller than the sum of its proper divisors (29389975200).

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

10877760000 is an frugal number, since it uses more digits than its factorization.

10877760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 10877760000 in words is "ten billion, eight hundred seventy-seven million, seven hundred sixty thousand".