982962086400 has 2400 divisors, whose sum is σ = 4561995727872. Its totient is φ = 203843174400.

The previous prime is 982962086389. The next prime is 982962086419. The reversal of 982962086400 is 4680269289.

It is a happy number.

982962086400 is a `hidden beast` number, since 9 + 8 + 2 + 9 + 620 + 8 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 3824755072 + ... + 3824755328.

Almost surely, 2^982962086400 is an apocalyptic number.

982962086400 is a gapful number since it is divisible by the number (90) 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 982962086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280997863936).

982962086400 is an abundant number, since it is smaller than the sum of its proper divisors (3579033641472).

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

982962086400 is a wasteful number, since it uses less digits than its factorization.

982962086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 982962086400 in words is "nine hundred eighty-two billion, nine hundred sixty-two million, eighty-six thousand, four hundred".