10957972248 has 288 divisors, whose sum is σ = 33372799200. Its totient is φ = 3362591232.

The previous prime is 10957972243. The next prime is 10957972279. The reversal of 10957972248 is 84227975901.

10957972248 is a `hidden beast` number, since 1 + 0 + 9 + 579 + 7 + 22 + 48 = 666.

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 = 10957972194 and 10957972203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957972241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35009340 + ... + 35009652.

It is an arithmetic number, because the mean of its divisors is an integer number (115877775).

Almost surely, 2^10957972248 is an apocalyptic number.

10957972248 is a gapful number since it is divisible by the number (18) 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 10957972248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686399600).

10957972248 is an abundant number, since it is smaller than the sum of its proper divisors (22414826952).

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

10957972248 is an equidigital number, since it uses as much as digits as its factorization.

10957972248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10957972248 in words is "ten billion, nine hundred fifty-seven million, nine hundred seventy-two thousand, two hundred forty-eight".