11791579287400 has 192 divisors, whose sum is σ = 30895100444160. Its totient is φ = 4146491520000.

The previous prime is 11791579287361. The next prime is 11791579287437. The reversal of 11791579287400 is 478297519711.

11791579287400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94121602 + ... + 94246798.

It is an arithmetic number, because the mean of its divisors is an integer number (160911981480).

Almost surely, 2^{11791579287400} is an apocalyptic number.

11791579287400 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 11791579287400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447550222080).

11791579287400 is an abundant number, since it is smaller than the sum of its proper divisors (19103521156760).

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

11791579287400 is a wasteful number, since it uses less digits than its factorization.

11791579287400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126636 (or 126627 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 61.

The spelling of 11791579287400 in words is "eleven trillion, seven hundred ninety-one billion, five hundred seventy-nine million, two hundred eighty-seven thousand, four hundred".