978253210368 has 1296 divisors, whose sum is σ = 3628417228800. Its totient is φ = 262705379328.

The previous prime is 978253210339. The next prime is 978253210421. The reversal of 978253210368 is 863012352879.

978253210368 is a `hidden beast` number, since 9 + 7 + 8 + 253 + 21 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 7702781121 + ... + 7702781247.

Almost surely, 2^978253210368 is an apocalyptic number.

978253210368 is a gapful number since it is divisible by the number (98) 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 978253210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814208614400).

978253210368 is an abundant number, since it is smaller than the sum of its proper divisors (2650164018432).

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

978253210368 is an equidigital number, since it uses as much as digits as its factorization.

978253210368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 978253210368 in words is "nine hundred seventy-eight billion, two hundred fifty-three million, two hundred ten thousand, three hundred sixty-eight".