11301940527800 has 192 divisors, whose sum is σ = 29533109760000. Its totient is φ = 3990989882880.

The previous prime is 11301940527797. The next prime is 11301940527821. The reversal of 11301940527800 is 872504910311.

It is a congruent number.

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, 642183401 + ... + 642200999.

It is an arithmetic number, because the mean of its divisors is an integer number (153818280000).

Almost surely, 2^{11301940527800} is an apocalyptic number.

11301940527800 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 11301940527800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766554880000).

11301940527800 is an abundant number, since it is smaller than the sum of its proper divisors (18231169232200).

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

11301940527800 is a wasteful number, since it uses less digits than its factorization.

11301940527800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28390 (or 28381 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 11301940527800 in words is "eleven trillion, three hundred one billion, nine hundred forty million, five hundred twenty-seven thousand, eight hundred".