11372402880000 has 2400 divisors, whose sum is σ = 45752200734240. Its totient is φ = 2707292160000.

The previous prime is 11372402879993. The next prime is 11372402880001. The reversal of 11372402880000 is 8820427311.

11372402880000 is a `hidden beast` number, since 1 + 1 + 372 + 4 + 0 + 288 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 (11372402880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 83010239932 + ... + 83010240068.

Almost surely, 2^{11372402880000} is an apocalyptic number.

11372402880000 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 11372402880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22876100367120).

11372402880000 is an abundant number, since it is smaller than the sum of its proper divisors (34379797854240).

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

11372402880000 is a wasteful number, since it uses less digits than its factorization.

11372402880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11372402880000 in words is "eleven trillion, three hundred seventy-two billion, four hundred two million, eight hundred eighty thousand".