10862110808640 has 2688 divisors, whose sum is σ = 50594053386240. Its totient is φ = 2153993306112.

The previous prime is 10862110808611. The next prime is 10862110808651. The reversal of 10862110808640 is 4680801126801.

10862110808640 is a `hidden beast` number, since 1 + 0 + 8 + 621 + 10 + 8 + 0 + 8 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×10862110808640³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23259337687 + ... + 23259338153.

It is an arithmetic number, because the mean of its divisors is an integer number (18822192480).

Almost surely, 2^{10862110808640} is an apocalyptic number.

10862110808640 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 10862110808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297026693120).

10862110808640 is an abundant number, since it is smaller than the sum of its proper divisors (39731942577600).

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

10862110808640 is a wasteful number, since it uses less digits than its factorization.

10862110808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10862110808640 in words is "ten trillion, eight hundred sixty-two billion, one hundred ten million, eight hundred eight thousand, six hundred forty".