10870554240 has 1024 divisors, whose sum is σ = 49132339200. Its totient is φ = 2209628160.

The previous prime is 10870554203. The next prime is 10870554259. The reversal of 10870554240 is 4245507801.

10870554240 is a `hidden beast` number, since 1 + 0 + 8 + 70 + 5 + 542 + 40 = 666.

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 = 10870554195 and 10870554204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48746769 + ... + 48746991.

It is an arithmetic number, because the mean of its divisors is an integer number (47980800).

Almost surely, 2^10870554240 is an apocalyptic number.

10870554240 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 10870554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566169600).

10870554240 is an abundant number, since it is smaller than the sum of its proper divisors (38261784960).

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

10870554240 is a wasteful number, since it uses less digits than its factorization.

10870554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

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

The spelling of 10870554240 in words is "ten billion, eight hundred seventy million, five hundred fifty-four thousand, two hundred forty".