11658071040 has 352 divisors, whose sum is σ = 46493167104. Its totient is φ = 2422210560.

The previous prime is 11658070979. The next prime is 11658071069. The reversal of 11658071040 is 4017085611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11658070992 and 11658071010.

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, 1177792 + ... + 1187648.

Almost surely, 2^11658071040 is an apocalyptic number.

11658071040 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 11658071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23246583552).

11658071040 is an abundant number, since it is smaller than the sum of its proper divisors (34835096064).

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

11658071040 is a wasteful number, since it uses less digits than its factorization.

11658071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 11658071040 in words is "eleven billion, six hundred fifty-eight million, seventy-one thousand, forty".