11958395904 has 704 divisors, whose sum is σ = 44935744000. Its totient is φ = 3121348608.

The previous prime is 11958395873. The next prime is 11958395927. The reversal of 11958395904 is 40959385911.

11958395904 is a `hidden beast` number, since 1 + 1 + 9 + 583 + 9 + 59 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 123282384 + ... + 123282480.

Almost surely, 2^11958395904 is an apocalyptic number.

11958395904 is a gapful number since it is divisible by the number (14) 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 11958395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467872000).

11958395904 is an abundant number, since it is smaller than the sum of its proper divisors (32977348096).

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

11958395904 is an equidigital number, since it uses as much as digits as its factorization.

11958395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 11958395904 in words is "eleven billion, nine hundred fifty-eight million, three hundred ninety-five thousand, nine hundred four".