10887319078272 has 1024 divisors, whose sum is σ = 41960278886400. Its totient is φ = 2696930131968.

The previous prime is 10887319078217. The next prime is 10887319078277. The reversal of 10887319078272 is 27287091378801.

10887319078272 is a `hidden beast` number, since 108 + 8 + 7 + 3 + 190 + 78 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10887319078277) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3010039408 + ... + 3010043024.

It is an arithmetic number, because the mean of its divisors is an integer number (40976834850).

Almost surely, 2^{10887319078272} is an apocalyptic number.

10887319078272 is a gapful number since it is divisible by the number (12) 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 10887319078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980139443200).

10887319078272 is an abundant number, since it is smaller than the sum of its proper divisors (31072959808128).

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

10887319078272 is a wasteful number, since it uses less digits than its factorization.

10887319078272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 10887319078272 in words is "ten trillion, eight hundred eighty-seven billion, three hundred nineteen million, seventy-eight thousand, two hundred seventy-two".