10956000780 has 288 divisors, whose sum is σ = 37689200640. Its totient is φ = 2561518080.

The previous prime is 10956000739. The next prime is 10956000823. The reversal of 10956000780 is 8700065901.

10956000780 is a `hidden beast` number, since 10 + 9 + 560 + 0 + 0 + 7 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2436214 + ... + 2440706.

It is an arithmetic number, because the mean of its divisors is an integer number (130865280).

Almost surely, 2^10956000780 is an apocalyptic number.

10956000780 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 10956000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844600320).

10956000780 is an abundant number, since it is smaller than the sum of its proper divisors (26733199860).

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

10956000780 is a wasteful number, since it uses less digits than its factorization.

10956000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10956000780 in words is "ten billion, nine hundred fifty-six million, seven hundred eighty", and thus it is an aban number.