10848816742400 has 1440 divisors, whose sum is σ = 35167662458880. Its totient is φ = 3227516928000.

The previous prime is 10848816742349. The next prime is 10848816742457. The reversal of 10848816742400 is 424761884801.

It is a happy number.

10848816742400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47374745486 + ... + 47374745714.

Almost surely, 2^{10848816742400} is an apocalyptic number.

10848816742400 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 10848816742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583831229440).

10848816742400 is an abundant number, since it is smaller than the sum of its proper divisors (24318845716480).

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

10848816742400 is a wasteful number, since it uses less digits than its factorization.

10848816742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 53.

The spelling of 10848816742400 in words is "ten trillion, eight hundred forty-eight billion, eight hundred sixteen million, seven hundred forty-two thousand, four hundred".