986753940480 has 4224 divisors, whose sum is σ = 5080857062400. Its totient is φ = 178362777600.

The previous prime is 986753940479. The next prime is 986753940533. The reversal of 986753940480 is 84049357689.

986753940480 is a `hidden beast` number, since 9 + 8 + 67 + 5 + 3 + 94 + 0 + 480 = 666.

986753940480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24067169260 + ... + 24067169300.

Almost surely, 2^986753940480 is an apocalyptic number.

986753940480 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 986753940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540428531200).

986753940480 is an abundant number, since it is smaller than the sum of its proper divisors (4094103121920).

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

986753940480 is a wasteful number, since it uses less digits than its factorization.

986753940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 986753940480 in words is "nine hundred eighty-six billion, seven hundred fifty-three million, nine hundred forty thousand, four hundred eighty".