9946511527680 has 1152 divisors, whose sum is σ = 45728276428800. Its totient is φ = 1988139810816.

The previous prime is 9946511527633. The next prime is 9946511527709. The reversal of 9946511527680 is 867251156499.

9946511527680 is a `hidden beast` number, since 9 + 9 + 4 + 6 + 511 + 52 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×9946511527680² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 59671012 + ... + 59837468.

It is an arithmetic number, because the mean of its divisors is an integer number (39694684400).

Almost surely, 2^{9946511527680} is an apocalyptic number.

9946511527680 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 9946511527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22864138214400).

9946511527680 is an abundant number, since it is smaller than the sum of its proper divisors (35781764901120).

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

9946511527680 is a wasteful number, since it uses less digits than its factorization.

9946511527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166526 (or 166506 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 9946511527680 in words is "nine trillion, nine hundred forty-six billion, five hundred eleven million, five hundred twenty-seven thousand, six hundred eighty".