10986071040 has 352 divisors, whose sum is σ = 44623944960. Its totient is φ = 2510880768.

The previous prime is 10986071023. The next prime is 10986071053. The reversal of 10986071040 is 4017068901.

10986071040 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 607 + 1 + 0 + 40 = 666.

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 = 10986070986 and 10986071004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962004 + ... + 973356.

Almost surely, 2^10986071040 is an apocalyptic number.

10986071040 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 10986071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311972480).

10986071040 is an abundant number, since it is smaller than the sum of its proper divisors (33637873920).

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

10986071040 is a wasteful number, since it uses less digits than its factorization.

10986071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10986071040 in words is "ten billion, nine hundred eighty-six million, seventy-one thousand, forty".