10948815360 has 800 divisors, whose sum is σ = 47295008640. Its totient is φ = 2364899328.

The previous prime is 10948815349. The next prime is 10948815403. The reversal of 10948815360 is 6351884901.

10948815360 is a `hidden beast` number, since 10 + 9 + 488 + 153 + 6 + 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 79 ways as a sum of consecutive naturals, for example, 27578682 + ... + 27579078.

Almost surely, 2^10948815360 is an apocalyptic number.

10948815360 is a gapful number since it is divisible by the number (10) 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 10948815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647504320).

10948815360 is an abundant number, since it is smaller than the sum of its proper divisors (36346193280).

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

10948815360 is an equidigital number, since it uses as much as digits as its factorization.

10948815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10948815360 in words is "ten billion, nine hundred forty-eight million, eight hundred fifteen thousand, three hundred sixty".