11390628375000 has 1792 divisors, whose sum is σ = 47423392972800. Its totient is φ = 2478600000000.

The previous prime is 11390628374933. The next prime is 11390628375017. The reversal of 11390628375000 is 57382609311.

11390628375000 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 62 + 83 + 7 + 500 + 0 = 666.

11390628375000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11390628375000 = 150³ + 22500³ = 10950³ + 21600³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 75434624925 + ... + 75434625075.

Almost surely, 2^{11390628375000} is an apocalyptic number.

11390628375000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3375000×3375001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11390628375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711696486400).

11390628375000 is an abundant number, since it is smaller than the sum of its proper divisors (36032764597800).

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

11390628375000 is a wasteful number, since it uses less digits than its factorization.

11390628375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11390628375000 in words is "eleven trillion, three hundred ninety billion, six hundred twenty-eight million, three hundred seventy-five thousand".