10886787072000 has 2560 divisors, whose sum is σ = 48108331252800. Its totient is φ = 2427715584000.

The previous prime is 10886787071999. The next prime is 10886787072019. The reversal of 10886787072000 is 27078768801.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 265531391980 + ... + 265531392020.

Almost surely, 2^{10886787072000} is an apocalyptic number.

10886787072000 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 10886787072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24054165626400).

10886787072000 is an abundant number, since it is smaller than the sum of its proper divisors (37221544180800).

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

10886787072000 is an frugal number, since it uses more digits than its factorization.

10886787072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 10886787072000 in words is "ten trillion, eight hundred eighty-six billion, seven hundred eighty-seven million, seventy-two thousand".