11958186240 has 1728 divisors, whose sum is σ = 59783173632. Its totient is φ = 2123366400.

The previous prime is 11958186203. The next prime is 11958186277. The reversal of 11958186240 is 4268185911.

It is a happy number.

11958186240 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 8 + 18 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11958186203) and next prime (11958186277).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196035810 + ... + 196035870.

It is an arithmetic number, because the mean of its divisors is an integer number (34596744).

Almost surely, 2^11958186240 is an apocalyptic number.

11958186240 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 11958186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29891586816).

11958186240 is an abundant number, since it is smaller than the sum of its proper divisors (47824987392).

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

11958186240 is a wasteful number, since it uses less digits than its factorization.

11958186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11958186240 in words is "eleven billion, nine hundred fifty-eight million, one hundred eighty-six thousand, two hundred forty".