11958071040 has 288 divisors, whose sum is σ = 44670393600. Its totient is φ = 3020820480.

The previous prime is 11958070987. The next prime is 11958071063. The reversal of 11958071040 is 4017085911.

11958071040 is a `hidden beast` number, since 1 + 1 + 9 + 580 + 71 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 11958070986 and 11958071004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647535 + ... + 665745.

Almost surely, 2^11958071040 is an apocalyptic number.

11958071040 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 11958071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335196800).

11958071040 is an abundant number, since it is smaller than the sum of its proper divisors (32712322560).

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

11958071040 is a wasteful number, since it uses less digits than its factorization.

11958071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18260 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11958071040 in words is "eleven billion, nine hundred fifty-eight million, seventy-one thousand, forty".