986402079936 has 560 divisors, whose sum is σ = 3788218748160. Its totient is φ = 246455654400.

The previous prime is 986402079931. The next prime is 986402079941. The reversal of 986402079936 is 639970204689.

It is an interprime number because it is at equal distance from previous prime (986402079931) and next prime (986402079941).

It is a super-3 number, since 3×986402079936³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (986402079931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8908111 + ... + 9018161.

It is an arithmetic number, because the mean of its divisors is an integer number (6764676336).

Almost surely, 2^986402079936 is an apocalyptic number.

986402079936 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 986402079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894109374080).

986402079936 is an abundant number, since it is smaller than the sum of its proper divisors (2801816668224).

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

986402079936 is a wasteful number, since it uses less digits than its factorization.

986402079936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110114 (or 110095 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

It can be divided in two parts, 98640 and 2079936, that added together give a square (2178576 = 1476²).

The spelling of 986402079936 in words is "nine hundred eighty-six billion, four hundred two million, seventy-nine thousand, nine hundred thirty-six".