9860553480960 has 720 divisors, whose sum is σ = 43425104390976. Its totient is φ = 2080466436096.

The previous prime is 9860553480919. The next prime is 9860553480983. The reversal of 9860553480960 is 690843550689.

9860553480960 is a `hidden beast` number, since 9 + 8 + 6 + 0 + 5 + 534 + 8 + 0 + 96 + 0 = 666.

9860553480960 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 (720).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8912322 + ... + 9957438.

Almost surely, 2^{9860553480960} is an apocalyptic number.

9860553480960 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 9860553480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712552195488).

9860553480960 is an abundant number, since it is smaller than the sum of its proper divisors (33564550910016).

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

9860553480960 is a wasteful number, since it uses less digits than its factorization.

9860553480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045170 (or 1045147 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 9860553480960 in words is "nine trillion, eight hundred sixty billion, five hundred fifty-three million, four hundred eighty thousand, nine hundred sixty".