9484251910560 has 1440 divisors, whose sum is σ = 41576737732992. Its totient is φ = 2025218764800.

The previous prime is 9484251910501. The next prime is 9484251910579. The reversal of 9484251910560 is 650191524849.

9484251910560 is a `hidden beast` number, since 9 + 48 + 4 + 25 + 1 + 9 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×9484251910560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9484251910497 and 9484251910506.

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, 628047010 + ... + 628062110.

Almost surely, 2^{9484251910560} is an apocalyptic number.

9484251910560 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 9484251910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788368866496).

9484251910560 is an abundant number, since it is smaller than the sum of its proper divisors (32092485822432).

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

9484251910560 is a wasteful number, since it uses less digits than its factorization.

9484251910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15208 (or 15184 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 9484251910560 in words is "nine trillion, four hundred eighty-four billion, two hundred fifty-one million, nine hundred ten thousand, five hundred sixty".