11400365125080 has 384 divisors, whose sum is σ = 39489041592000. Its totient is φ = 2842457702400.

The previous prime is 11400365125067. The next prime is 11400365125087. The reversal of 11400365125080 is 8052156300411.

11400365125080 is a `hidden beast` number, since 1 + 1 + 40 + 0 + 365 + 1 + 250 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400365125087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1161993375 + ... + 1162003185.

Almost surely, 2^{11400365125080} is an apocalyptic number.

11400365125080 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 11400365125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744520796000).

11400365125080 is an abundant number, since it is smaller than the sum of its proper divisors (28088676466920).

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

11400365125080 is a wasteful number, since it uses less digits than its factorization.

11400365125080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11075 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11400365125080 in words is "eleven trillion, four hundred billion, three hundred sixty-five million, one hundred twenty-five thousand, eighty".