11948907579840 has 672 divisors, whose sum is σ = 52490451686400. Its totient is φ = 2422329753600.

The previous prime is 11948907579781. The next prime is 11948907579887. The reversal of 11948907579840 is 4897570984911.

11948907579840 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 8 + 9 + 0 + 7 + 579 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8435061 + ... + 9749259.

It is an arithmetic number, because the mean of its divisors is an integer number (78110791200).

Almost surely, 2^{11948907579840} is an apocalyptic number.

11948907579840 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 11948907579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26245225843200).

11948907579840 is an abundant number, since it is smaller than the sum of its proper divisors (40541544106560).

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

11948907579840 is a wasteful number, since it uses less digits than its factorization.

11948907579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314281 (or 1314268 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 11948907579840 in words is "eleven trillion, nine hundred forty-eight billion, nine hundred seven million, five hundred seventy-nine thousand, eight hundred forty".