9825511680 has 576 divisors, whose sum is σ = 37298257920. Its totient is φ = 2443567104.

The previous prime is 9825511669. The next prime is 9825511699. The reversal of 9825511680 is 861155289.

It is a happy number.

9825511680 is a `hidden beast` number, since 9 + 8 + 2 + 551 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37359229 + ... + 37359491.

It is an arithmetic number, because the mean of its divisors is an integer number (64753920).

Almost surely, 2^9825511680 is an apocalyptic number.

9825511680 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 9825511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649128960).

9825511680 is an abundant number, since it is smaller than the sum of its proper divisors (27472746240).

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

9825511680 is a wasteful number, since it uses less digits than its factorization.

9825511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 9825511680 is about 99123.7190585583. The cubic root of 9825511680 is about 2141.8303029966.

The spelling of 9825511680 in words is "nine billion, eight hundred twenty-five million, five hundred eleven thousand, six hundred eighty".