986401681251840 has 2560 divisors, whose sum is σ = 4236111728640000. Its totient is φ = 217245863116800.

The previous prime is 986401681251839. The next prime is 986401681251841. The reversal of 986401681251840 is 48152186104689.

It is a happy number.

986401681251840 is a `hidden beast` number, since 9 + 8 + 6 + 4 + 0 + 1 + 68 + 12 + 518 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (986401681251839) and next prime (986401681251841).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986401681251841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177123660576 + ... + 177123666144.

It is an arithmetic number, because the mean of its divisors is an integer number (1654731144000).

Almost surely, 2^{986401681251840} is an apocalyptic number.

986401681251840 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 986401681251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118055864320000).

986401681251840 is an abundant number, since it is smaller than the sum of its proper divisors (3249710047388160).

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

986401681251840 is a wasteful number, since it uses less digits than its factorization.

986401681251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 986401681251840 in words is "nine hundred eighty-six trillion, four hundred one billion, six hundred eighty-one million, two hundred fifty-one thousand, eight hundred forty".