10847462400 has 594 divisors, whose sum is σ = 41057313570. Its totient is φ = 2735800320.

The previous prime is 10847462393. The next prime is 10847462443. The reversal of 10847462400 is 426474801.

It can be written as a sum of positive squares in 3 ways, for example, as 78004224 + 10769458176 = 8832^2 + 103776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 121881556 + ... + 121881644.

Almost surely, 2^10847462400 is an apocalyptic number.

10847462400 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 10847462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528656785).

10847462400 is an abundant number, since it is smaller than the sum of its proper divisors (30209851170).

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

10847462400 is a wasteful number, since it uses less digits than its factorization.

10847462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10847462400 in words is "ten billion, eight hundred forty-seven million, four hundred sixty-two thousand, four hundred".