981788000256 has 352 divisors, whose sum is σ = 3325914506880. Its totient is φ = 280397611008.

The previous prime is 981788000191. The next prime is 981788000257. The reversal of 981788000256 is 652000887189.

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

It is not an unprimeable number, because it can be changed into a prime (981788000257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396360490 + ... + 396362966.

Almost surely, 2^981788000256 is an apocalyptic number.

981788000256 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 981788000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662957253440).

981788000256 is an abundant number, since it is smaller than the sum of its proper divisors (2344126506624).

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

981788000256 is an frugal number, since it uses more digits than its factorization.

981788000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 981788000256 in words is "nine hundred eighty-one billion, seven hundred eighty-eight million, two hundred fifty-six", and thus it is an aban number.