10916375040 has 240 divisors, whose sum is σ = 37989923400. Its totient is φ = 2896920576.

The previous prime is 10916375039. The next prime is 10916375047. The reversal of 10916375040 is 4057361901.

10916375040 is a `hidden beast` number, since 1 + 0 + 91 + 63 + 7 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9317654784 + 1598720256 = 96528^2 + 39984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10916374986 and 10916375004.

It is not an unprimeable number, because it can be changed into a prime (10916375047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5275126 + ... + 5277194.

Almost surely, 2^10916375040 is an apocalyptic number.

10916375040 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 10916375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994961700).

10916375040 is an abundant number, since it is smaller than the sum of its proper divisors (27073548360).

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

10916375040 is a wasteful number, since it uses less digits than its factorization.

10916375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10916375040 in words is "ten billion, nine hundred sixteen million, three hundred seventy-five thousand, forty".