9291161880 has 1536 divisors, whose sum is σ = 45287424000. Its totient is φ = 1587548160.

The previous prime is 9291161863. The next prime is 9291161911. The reversal of 9291161880 is 881611929.

9291161880 is a `hidden beast` number, since 9 + 29 + 1 + 1 + 618 + 8 + 0 = 666.

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

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, 157477291 + ... + 157477349.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^9291161880 is an apocalyptic number.

9291161880 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 9291161880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

9291161880 is an abundant number, since it is smaller than the sum of its proper divisors (35996262120).

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

9291161880 is a wasteful number, since it uses less digits than its factorization.

9291161880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 9291161880 is about 96390.6732002635. The cubic root of 9291161880 is about 2102.2773389774.

It can be divided in two parts, 9291 and 161880, that added together give a palindrome (171171).

The spelling of 9291161880 in words is "nine billion, two hundred ninety-one million, one hundred sixty-one thousand, eight hundred eighty".