10861878720 has 224 divisors, whose sum is σ = 42996404736. Its totient is φ = 2256998400.

The previous prime is 10861878719. The next prime is 10861878739. The reversal of 10861878720 is 2787816801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10861878720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450 + ... + 147390.

Almost surely, 2^10861878720 is an apocalyptic number.

10861878720 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 10861878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498202368).

10861878720 is an abundant number, since it is smaller than the sum of its proper divisors (32134526016).

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

10861878720 is a wasteful number, since it uses less digits than its factorization.

10861878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146979 (or 146969 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 10861878720 in words is "ten billion, eight hundred sixty-one million, eight hundred seventy-eight thousand, seven hundred twenty".