10847255040 has 480 divisors, whose sum is σ = 40216176000. Its totient is φ = 2694021120.

The previous prime is 10847254997. The next prime is 10847255053. The reversal of 10847255040 is 4055274801.

10847255040 is a `hidden beast` number, since 1 + 0 + 84 + 72 + 5 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 10847254986 and 10847255004.

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, 31080786 + ... + 31081134.

It is an arithmetic number, because the mean of its divisors is an integer number (83783700).

Almost surely, 2^10847255040 is an apocalyptic number.

10847255040 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 10847255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088000).

10847255040 is an abundant number, since it is smaller than the sum of its proper divisors (29368920960).

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

10847255040 is a wasteful number, since it uses less digits than its factorization.

10847255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 10847255040 in words is "ten billion, eight hundred forty-seven million, two hundred fifty-five thousand, forty".