10940627880 has 1344 divisors, whose sum is σ = 50239526400. Its totient is φ = 2116316160.

The previous prime is 10940627869. The next prime is 10940627881. The reversal of 10940627880 is 8872604901.

10940627880 is a `hidden beast` number, since 10 + 9 + 4 + 0 + 627 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10940627881) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 352923465 + ... + 352923495.

It is an arithmetic number, because the mean of its divisors is an integer number (37380600).

Almost surely, 2^10940627880 is an apocalyptic number.

10940627880 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 10940627880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119763200).

10940627880 is an abundant number, since it is smaller than the sum of its proper divisors (39298898520).

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

10940627880 is a wasteful number, since it uses less digits than its factorization.

10940627880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10940627880 in words is "ten billion, nine hundred forty million, six hundred twenty-seven thousand, eight hundred eighty".