9759920256 has 128 divisors (see below), whose sum is σ = 29075630400. Its totient is φ = 3222779904.

The previous prime is 9759920239. The next prime is 9759920279. The reversal of 9759920256 is 6520299579.

It is a happy number.

9759920256 is a `hidden beast` number, since 9 + 7 + 599 + 20 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356596 + ... + 382988.

Almost surely, 2^9759920256 is an apocalyptic number.

9759920256 is a gapful number since it is divisible by the number (96) 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 9759920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537815200).

9759920256 is an abundant number, since it is smaller than the sum of its proper divisors (19315710144).

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

9759920256 is a wasteful number, since it uses less digits than its factorization.

9759920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26523 (or 26505 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 9759920256 is about 98792.3086884804. The cubic root of 9759920256 is about 2137.0536400063.

It can be divided in two parts, 97599 and 20256, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 9759920256 in words is "nine billion, seven hundred fifty-nine million, nine hundred twenty thousand, two hundred fifty-six".