9291379498560 has 336 divisors, whose sum is σ = 32954819893632. Its totient is φ = 2401256448000.

The previous prime is 9291379498559. The next prime is 9291379498603. The reversal of 9291379498560 is 658949731929.

9291379498560 is a `hidden beast` number, since 9 + 2 + 9 + 1 + 3 + 79 + 498 + 5 + 60 = 666.

9291379498560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9291379498560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17569527 + ... + 18090633.

It is an arithmetic number, because the mean of its divisors is an integer number (98079821112).

It is a 1-persistent number, because it is pandigital, but 2⋅9291379498560 = 18582758997120 is not.

Almost surely, 2^{9291379498560} is an apocalyptic number.

9291379498560 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 9291379498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477409946816).

9291379498560 is an abundant number, since it is smaller than the sum of its proper divisors (23663440395072).

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

9291379498560 is a wasteful number, since it uses less digits than its factorization.

9291379498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521322 (or 521309 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 9291379498560 in words is "nine trillion, two hundred ninety-one billion, three hundred seventy-nine million, four hundred ninety-eight thousand, five hundred sixty".